1157117256 has 24 divisors (see below), whose sum is σ = 3133859430. Its totient is φ = 385705728.

The previous prime is 1157117249. The next prime is 1157117261. The reversal of 1157117256 is 6527117511.

It is a happy number.

1157117256 is a `hidden beast` number, since 11 + 571 + 1 + 72 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 852056100 + 305061156 = 29190^2 + 17466^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1157117256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8035465 + ... + 8035608.

Almost surely, 2^1157117256 is an apocalyptic number.

It is an amenable number.

1157117256 is an abundant number, since it is smaller than the sum of its proper divisors (1976742174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1157117256 is a wasteful number, since it uses less digits than its factorization.

1157117256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16071085 (or 16071078 counting only the distinct ones).

The product of its digits is 14700, while the sum is 36.

The square root of 1157117256 is about 34016.4262673197. The cubic root of 1157117256 is about 1049.8464646253.

The spelling of 1157117256 in words is "one billion, one hundred fifty-seven million, one hundred seventeen thousand, two hundred fifty-six".