11253264957 has 160 divisors (see below), whose sum is σ = 20451594240. Its totient is φ = 6088608000.

The previous prime is 11253264949. The next prime is 11253265003. The reversal of 11253264957 is 75946235211.

11253264957 is a `hidden beast` number, since 1 + 1 + 2 + 532 + 64 + 9 + 57 = 666.

It is not a de Polignac number, because 11253264957 - 2³ = 11253264949 is a prime.

11253264957 is a modest number, since divided by 264957 gives 11253 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11253264917) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21516498 + ... + 21517020.

It is an arithmetic number, because the mean of its divisors is an integer number (127822464).

Almost surely, 2^11253264957 is an apocalyptic number.

It is an amenable number.

11253264957 is a deficient number, since it is larger than the sum of its proper divisors (9198329283).

11253264957 is a wasteful number, since it uses less digits than its factorization.

11253264957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 11253264957 in words is "eleven billion, two hundred fifty-three million, two hundred sixty-four thousand, nine hundred fifty-seven".