2523252825625 has 135 divisors (see below), whose sum is σ = 3810855214881. Its totient is φ = 1665230112000.

The previous prime is 2523252825503. The next prime is 2523252825721. The reversal of 2523252825625 is 5265282523252.

The square root of 2523252825625 is 1588475.

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

It can be written as a sum of positive squares in 22 ways, for example, as 818483899401 + 1704768926224 = 904701^2 + 1305668^2 .

It is not a de Polignac number, because 2523252825625 - 2²³ = 2523244437017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8061510469 + ... + 8061510781.

Almost surely, 2^{2523252825625} is an apocalyptic number.

2523252825625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2523252825625 is the 1588475-th square number.

2523252825625 is the 794238-th centered octagonal number.

It is an amenable number.

2523252825625 is a deficient number, since it is larger than the sum of its proper divisors (1287602389256).

2523252825625 is an frugal number, since it uses more digits than its factorization.

2523252825625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 354 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 49.

Multiplying 2523252825625 by its sum of digits (49), we get a square (123639388455625 = 11119325²).

2523252825625 divided by its sum of digits (49) gives a square (51494955625 = 226925²).

The spelling of 2523252825625 in words is "two trillion, five hundred twenty-three billion, two hundred fifty-two million, eight hundred twenty-five thousand, six hundred twenty-five".