25338328100 has 36 divisors (see below), whose sum is σ = 55385546244. Its totient is φ = 10061345280.

The previous prime is 25338328087. The next prime is 25338328117. The reversal of 25338328100 is 182383352.

It can be written as a sum of positive squares in 6 ways, for example, as 870486016 + 24467842084 = 29504^2 + 156422^2 .

It is a super-2 number, since 2×25338328100² (a number of 22 digits) contains 22 as substring.

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, 911057 + ... + 938456.

Almost surely, 2^25338328100 is an apocalyptic number.

25338328100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25338328100 is an abundant number, since it is smaller than the sum of its proper divisors (30047218144).

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

25338328100 is a wasteful number, since it uses less digits than its factorization.

25338328100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849664 (or 1849657 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 25338328100 in words is "twenty-five billion, three hundred thirty-eight million, three hundred twenty-eight thousand, one hundred".