How to block an email/number on Iphone 5?

So out of the blue my phone got like 86 messages saying something dumb and spamming me, literally a message every second from an email that I don't know I said something and they replied an answer, spamming me again. Then another email said something like you can't run or whatever and it won't stop, I'm getting like 100 texts a minute. I turned my phone off and turned it back on to check and it won't stop. It's creepy as anything can someone help?

Added (1). There's no block button, I'm sure I'd figure it out if there was and my carrier is closed it's midnight

The block button

Change your email, and number or block them. Using the block feature or by calling your wireless carrier

Change your email, and number or block them. Using the block feature or by calling your wireless carrier

If I block a number on my ipad, does it automatically block it on my iphone5?