10101576825 has 72 divisors (see below), whose sum is σ = 18912345088. Its totient is φ = 5344678080.

The previous prime is 10101576809. The next prime is 10101576833. The reversal of 10101576825 is 52867510101.

10101576825 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 576 + 82 + 5 = 666.

10101576825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101576825 - 2⁴ = 10101576809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10101576825.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 764979 + ... + 778071.

Almost surely, 2^10101576825 is an apocalyptic number.

10101576825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10101576825 is a deficient number, since it is larger than the sum of its proper divisors (8810768263).

10101576825 is a wasteful number, since it uses less digits than its factorization.

10101576825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13245 (or 13228 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 10101576825 in words is "ten billion, one hundred one million, five hundred seventy-six thousand, eight hundred twenty-five".