2508507225 has 189 divisors, whose sum is σ = 5529400653. Its totient is φ = 1125109440.

The previous prime is 2508507191. The next prime is 2508507283. The reversal of 2508507225 is 5227058052.

The square root of 2508507225 is 50085.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18896409 + 2489610816 = 4347^2 + 49896^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 2508507225 - 2¹⁷ = 2508376153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2508507225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 47330299 + ... + 47330351.

Almost surely, 2^2508507225 is an apocalyptic number.

2508507225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2508507225 is the 50085-th square number.

2508507225 is the 25043-rd centered octagonal number.

It is an amenable number.

2508507225 is an abundant number, since it is smaller than the sum of its proper divisors (3020893428).

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

2508507225 is an frugal number, since it uses more digits than its factorization.

2508507225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The cubic root of 2508507225 is about 1358.7465427943.

Multiplying 2508507225 by its sum of digits (36), we get a square (90306260100 = 300510²).

The spelling of 2508507225 in words is "two billion, five hundred eight million, five hundred seven thousand, two hundred twenty-five".