2507994832225 has 81 divisors (see below), whose sum is σ = 3333023506393. Its totient is φ = 1871917368640.

The previous prime is 2507994832223. The next prime is 2507994832283. The reversal of 2507994832225 is 5222384997052.

The square root of 2507994832225 is 1583665.

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 397181029729 + 2110813802496 = 630223^2 + 1452864^2 .

It is not a de Polignac number, because 2507994832225 - 2¹ = 2507994832223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2507994832225.

It is not an unprimeable number, because it can be changed into a prime (2507994832223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8559709179 + ... + 8559709471.

Almost surely, 2^{2507994832225} is an apocalyptic number.

2507994832225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2507994832225 is the 1583665-th square number.

2507994832225 is the 791833-rd centered octagonal number.

It is an amenable number.

2507994832225 is a deficient number, since it is larger than the sum of its proper divisors (825028674168).

2507994832225 is an frugal number, since it uses more digits than its factorization.

2507994832225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 2507994832225 in words is "two trillion, five hundred seven billion, nine hundred ninety-four million, eight hundred thirty-two thousand, two hundred twenty-five".