2505787513325 has 12 divisors (see below), whose sum is σ = 3158113838388. Its totient is φ = 1971767222400.

The previous prime is 2505787513309. The next prime is 2505787513343. The reversal of 2505787513325 is 5233157875052.

It can be written as a sum of positive squares in 6 ways, for example, as 1293617341129 + 1212170172196 = 1137373^2 + 1100986^2 .

It is not a de Polignac number, because 2505787513325 - 2⁴ = 2505787513309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 821568152 + ... + 821571201.

It is an arithmetic number, because the mean of its divisors is an integer number (263176153199).

Almost surely, 2^{2505787513325} is an apocalyptic number.

2505787513325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2505787513325 is a deficient number, since it is larger than the sum of its proper divisors (652326325063).

2505787513325 is a wasteful number, since it uses less digits than its factorization.

2505787513325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643139424 (or 1643139419 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 53.

The spelling of 2505787513325 in words is "two trillion, five hundred five billion, seven hundred eighty-seven million, five hundred thirteen thousand, three hundred twenty-five".