25065906100 has 36 divisors (see below), whose sum is σ = 54406728684. Its totient is φ = 10023834880.

The previous prime is 25065906079. The next prime is 25065906113. The reversal of 25065906100 is 160956052.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10903954084 + 14161952016 = 104422^2 + 119004^2 .

It is a super-2 number, since 2×25065906100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 395832 + ... + 454768.

It is an arithmetic number, because the mean of its divisors is an integer number (1511298019).

Almost surely, 2^25065906100 is an apocalyptic number.

25065906100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25065906100 is an abundant number, since it is smaller than the sum of its proper divisors (29340822584).

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

25065906100 is a wasteful number, since it uses less digits than its factorization.

25065906100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63204 (or 63197 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 25065906100 in words is "twenty-five billion, sixty-five million, nine hundred six thousand, one hundred".