825568413957 has 24 divisors (see below), whose sum is σ = 1369904479424. Its totient is φ = 469309054464.

The previous prime is 825568413949. The next prime is 825568414001. The reversal of 825568413957 is 759314865528.

825568413957 is a `hidden beast` number, since 8 + 2 + 5 + 568 + 4 + 13 + 9 + 57 = 666.

It is not a de Polignac number, because 825568413957 - 2³ = 825568413949 is a prime.

It is a super-2 number, since 2×825568413957² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 825568413894 and 825568413903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825568413157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33936703 + ... + 33961020.

Almost surely, 2^825568413957 is an apocalyptic number.

It is an amenable number.

825568413957 is a deficient number, since it is larger than the sum of its proper divisors (544336065467).

825568413957 is a wasteful number, since it uses less digits than its factorization.

825568413957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67897929 (or 67897926 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

It can be divided in two parts, 825568 and 413957, that added together give a triangular number (1239525 = T₁₅₇₄).

The spelling of 825568413957 in words is "eight hundred twenty-five billion, five hundred sixty-eight million, four hundred thirteen thousand, nine hundred fifty-seven".