25013465100 has 432 divisors, whose sum is σ = 90783751968. Its totient is φ = 5705441280.

The previous prime is 25013465093. The next prime is 25013465119. The reversal of 25013465100 is 156431052.

25013465100 is a `hidden beast` number, since 2 + 5 + 0 + 1 + 3 + 4 + 651 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13325362 + ... + 13327238.

It is an arithmetic number, because the mean of its divisors is an integer number (210147574).

Almost surely, 2^25013465100 is an apocalyptic number.

25013465100 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 25013465100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45391875984).

25013465100 is an abundant number, since it is smaller than the sum of its proper divisors (65770286868).

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

25013465100 is a wasteful number, since it uses less digits than its factorization.

25013465100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 25013465100 its reverse (156431052), we get a palindrome (25169896152).

The spelling of 25013465100 in words is "twenty-five billion, thirteen million, four hundred sixty-five thousand, one hundred".