10577003152 has 20 divisors (see below), whose sum is σ = 21698411436. Its totient is φ = 4977413120.

The previous prime is 10577003071. The next prime is 10577003161. The reversal of 10577003152 is 25130077501.

It can be written as a sum of positive squares in 2 ways, for example, as 9869230336 + 707772816 = 99344^2 + 26604^2 .

It is a super-2 number, since 2×10577003152² (a number of 21 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 19442749 + ... + 19443292.

Almost surely, 2^10577003152 is an apocalyptic number.

It is an amenable number.

10577003152 is an abundant number, since it is smaller than the sum of its proper divisors (11121408284).

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

10577003152 is a wasteful number, since it uses less digits than its factorization.

10577003152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38886066 (or 38886060 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 31.

The spelling of 10577003152 in words is "ten billion, five hundred seventy-seven million, three thousand, one hundred fifty-two".