25258744900 has 81 divisors (see below), whose sum is σ = 57381238173. Its totient is φ = 9650229600.

The previous prime is 25258744879. The next prime is 25258744921. The reversal of 25258744900 is 944785252.

The square root of 25258744900 is 158930.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (25258744879) and next prime (25258744921).

It can be written as a sum of positive squares in only one way, i.e., 9093148164 + 16165596736 = 95358^2 + 127144^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36553555 + ... + 36554245.

Almost surely, 2^25258744900 is an apocalyptic number.

25258744900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25258744900 is the 158930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25258744900

25258744900 is an abundant number, since it is smaller than the sum of its proper divisors (32122493273).

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

25258744900 is an equidigital number, since it uses as much as digits as its factorization.

25258744900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 25258744900 in words is "twenty-five billion, two hundred fifty-eight million, seven hundred forty-four thousand, nine hundred".