10857431601 has 27 divisors (see below), whose sum is σ = 16045448601. Its totient is φ = 7074695304.

The previous prime is 10857431593. The next prime is 10857431609. The reversal of 10857431601 is 10613475801.

The square root of 10857431601 is 104199.

It is a perfect power (a square), and thus also a powerful number.

10857431601 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 7 + 43 + 1 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (10857431593) and next prime (10857431609).

It is not a de Polignac number, because 10857431601 - 2³ = 10857431593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10857431609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14691690 + ... + 14692428.

Almost surely, 2^10857431601 is an apocalyptic number.

10857431601 is the 104199-th square number.

10857431601 is the 52100-th centered octagonal number.

It is an amenable number.

10857431601 is a deficient number, since it is larger than the sum of its proper divisors (5188017000).

10857431601 is an frugal number, since it uses more digits than its factorization.

10857431601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 10857431601 by its sum of digits (36), we get a square (390867537636 = 625194²).

The spelling of 10857431601 in words is "ten billion, eight hundred fifty-seven million, four hundred thirty-one thousand, six hundred one".