820100925 has 36 divisors (see below), whose sum is σ = 1678736800. Its totient is φ = 374902560.

The previous prime is 820100909. The next prime is 820100969. The reversal of 820100925 is 529001028.

It is not a de Polignac number, because 820100925 - 2⁴ = 820100909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258775 + ... + 261924.

Almost surely, 2^820100925 is an apocalyptic number.

It is an amenable number.

820100925 is an abundant number, since it is smaller than the sum of its proper divisors (858635875).

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

820100925 is a wasteful number, since it uses less digits than its factorization.

820100925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520722 (or 520714 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 820100925 is about 28637.4042992727. The cubic root of 820100925 is about 936.0285610669.

The spelling of 820100925 in words is "eight hundred twenty million, one hundred thousand, nine hundred twenty-five".