2562736731025 has 27 divisors (see below), whose sum is σ = 3190338755121. Its totient is φ = 2042127479040.

The previous prime is 2562736731011. The next prime is 2562736731067. The reversal of 2562736731025 is 5201376372652.

The square root of 2562736731025 is 1600855.

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 140318417281 + 2422418313744 = 374591^2 + 1556412^2 .

It is not a de Polignac number, because 2562736731025 - 2⁵ = 2562736730993 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 2562736731025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2825508622 + ... + 2825509528.

Almost surely, 2^{2562736731025} is an apocalyptic number.

2562736731025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2562736731025 is the 1600855-th square number.

2562736731025 is the 800428-th centered octagonal number.

It is an amenable number.

2562736731025 is a deficient number, since it is larger than the sum of its proper divisors (627602024096).

2562736731025 is an frugal number, since it uses more digits than its factorization.

2562736731025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 49.

Multiplying 2562736731025 by its sum of digits (49), we get a square (125574099820225 = 11205985²).

The spelling of 2562736731025 in words is "two trillion, five hundred sixty-two billion, seven hundred thirty-six million, seven hundred thirty-one thousand, twenty-five".