828625630700520 has 48 divisors (see below), whose sum is σ = 2693033299777860. Its totient is φ = 220966834853376.

The previous prime is 828625630700453. The next prime is 828625630700587. The reversal of 828625630700520 is 25007036526828.

It is a happy number.

828625630700520 is a `hidden beast` number, since 8 + 2 + 8 + 6 + 2 + 563 + 0 + 70 + 0 + 5 + 2 + 0 = 666.

828625630700520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (828625630700453) and next prime (828625630700587).

It can be written as a sum of positive squares in 2 ways, for example, as 791107090143876 + 37518540556644 = 28126626^2 + 6125238^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150868931169 + ... + 1150868931888.

Almost surely, 2^{828625630700520} is an apocalyptic number.

It is an amenable number.

828625630700520 is an abundant number, since it is smaller than the sum of its proper divisors (1864407669077340).

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

828625630700520 is a wasteful number, since it uses less digits than its factorization.

828625630700520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301737863074 (or 2301737863067 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 828625630700520 in words is "eight hundred twenty-eight trillion, six hundred twenty-five billion, six hundred thirty million, seven hundred thousand, five hundred twenty".