25152225100 has 72 divisors (see below), whose sum is σ = 57296332800. Its totient is φ = 9571252800.

The previous prime is 25152225089. The next prime is 25152225107. The reversal of 25152225100 is 152225152.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (25152225107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114141 + ... + 251659.

It is an arithmetic number, because the mean of its divisors is an integer number (795782400).

Almost surely, 2^25152225100 is an apocalyptic number.

25152225100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25152225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28648166400).

25152225100 is an abundant number, since it is smaller than the sum of its proper divisors (32144107700).

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

25152225100 is a wasteful number, since it uses less digits than its factorization.

25152225100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137623 (or 137616 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 25152225100 in words is "twenty-five billion, one hundred fifty-two million, two hundred twenty-five thousand, one hundred".