2225415313121 has 128 divisors (see below), whose sum is σ = 3140674338816. Its totient is φ = 1519958753280.

The previous prime is 2225415313097. The next prime is 2225415313127. The reversal of 2225415313121 is 1213135145222.

It is a de Polignac number, because none of the positive numbers 2^k-2225415313121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2225415313127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2704027916 + ... + 2704028738.

It is an arithmetic number, because the mean of its divisors is an integer number (24536518272).

Almost surely, 2^{2225415313121} is an apocalyptic number.

It is an amenable number.

2225415313121 is a deficient number, since it is larger than the sum of its proper divisors (915259025695).

2225415313121 is a wasteful number, since it uses less digits than its factorization.

2225415313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591.

The product of its digits is 14400, while the sum is 32.

The spelling of 2225415313121 in words is "two trillion, two hundred twenty-five billion, four hundred fifteen million, three hundred thirteen thousand, one hundred twenty-one".