25456202500 has 45 divisors (see below), whose sum is σ = 55685074291. Its totient is φ = 10179290000.

The previous prime is 25456202459. The next prime is 25456202503. The reversal of 25456202500 is 520265452.

It is a happy number.

The square root of 25456202500 is 159550.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1995766276 + 23460436224 = 44674^2 + 153168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25456202503) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7975905 + ... + 7979095.

Almost surely, 2^25456202500 is an apocalyptic number.

25456202500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25456202500 is the 159550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25456202500

25456202500 is an abundant number, since it is smaller than the sum of its proper divisors (30228871791).

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

25456202500 is an frugal number, since it uses more digits than its factorization.

25456202500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 25456202500 its reverse (520265452), we get a palindrome (25976467952).

The spelling of 25456202500 in words is "twenty-five billion, four hundred fifty-six million, two hundred two thousand, five hundred".