2506504225 has 81 divisors (see below), whose sum is σ = 3600595161. Its totient is φ = 1730246400.

The previous prime is 2506504207. The next prime is 2506504277. The reversal of 2506504225 is 5224056052.

It is a happy number.

The square root of 2506504225 is 50065.

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 58629649 + 2447874576 = 7657^2 + 49476^2 .

It is not a de Polignac number, because 2506504225 - 2⁵ = 2506504193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 80 ways as a sum of consecutive naturals, for example, 80854960 + ... + 80854990.

Almost surely, 2^2506504225 is an apocalyptic number.

2506504225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2506504225 is the 50065-th square number.

2506504225 is the 25033-rd centered octagonal number.

It is an amenable number.

2506504225 is a deficient number, since it is larger than the sum of its proper divisors (1094090936).

2506504225 is a wasteful number, since it uses less digits than its factorization.

2506504225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 72 counting only the distinct ones).

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

The cubic root of 2506504225 is about 1358.3848012248.

The spelling of 2506504225 in words is "two billion, five hundred six million, five hundred four thousand, two hundred twenty-five".