825013099557 has 24 divisors (see below), whose sum is σ = 1212371362904. Its totient is φ = 540515856384.

The previous prime is 825013099513. The next prime is 825013099591. The reversal of 825013099557 is 755990310528.

825013099557 is a `hidden beast` number, since 8 + 2 + 50 + 1 + 30 + 9 + 9 + 557 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43263584001 + 781749515556 = 207999^2 + 884166^2 .

It is not a de Polignac number, because 825013099557 - 2⁸ = 825013099301 is a prime.

It is a super-2 number, since 2×825013099557² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825013049557) 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, 2084668 + ... + 2448645.

Almost surely, 2^825013099557 is an apocalyptic number.

It is an amenable number.

825013099557 is a deficient number, since it is larger than the sum of its proper divisors (387358263347).

825013099557 is a wasteful number, since it uses less digits than its factorization.

825013099557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533669 (or 4533666 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 825013099557 in words is "eight hundred twenty-five billion, thirteen million, ninety-nine thousand, five hundred fifty-seven".