50757837025 has 81 divisors (see below), whose sum is σ = 75525928587. Its totient is φ = 33740179200.

The previous prime is 50757837007. The next prime is 50757837041. The reversal of 50757837025 is 52073875705.

The square root of 50757837025 is 225295.

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

It can be written as a sum of positive squares in 13 ways, for example, as 49853511841 + 904325184 = 223279^2 + 30072^2 .

It is not a de Polignac number, because 50757837025 - 2¹³ = 50757828833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 50757837025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 323298247 + ... + 323298403.

Almost surely, 2^50757837025 is an apocalyptic number.

50757837025 is the 225295-th square number.

50757837025 is the 112648-th centered octagonal number.

It is an amenable number.

50757837025 is a deficient number, since it is larger than the sum of its proper divisors (24768091562).

50757837025 is an equidigital number, since it uses as much as digits as its factorization.

50757837025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 49.

Multiplying 50757837025 by its sum of digits (49), we get a square (2487134014225 = 1577065²).

50757837025 divided by its sum of digits (49) gives a square (1035874225 = 32185²).

The spelling of 50757837025 in words is "fifty billion, seven hundred fifty-seven million, eight hundred thirty-seven thousand, twenty-five".