51835905625 has 45 divisors (see below), whose sum is σ = 75407479851. Its totient is φ = 35517300000.

The previous prime is 51835905617. The next prime is 51835905631. The reversal of 51835905625 is 52650953815.

The square root of 51835905625 is 227675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 48796368201 + 3039537424 = 220899^2 + 55132^2 .

It is not a de Polignac number, because 51835905625 - 2³ = 51835905617 is a prime.

It is a super-2 number, since 2×51835905625² (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39842475 + ... + 39843775.

Almost surely, 2^51835905625 is an apocalyptic number.

51835905625 is the 227675-th square number.

51835905625 is the 113838-th centered octagonal number.

It is an amenable number.

51835905625 is a deficient number, since it is larger than the sum of its proper divisors (23571574226).

51835905625 is an frugal number, since it uses more digits than its factorization.

51835905625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 49.

Multiplying 51835905625 by its sum of digits (49), we get a square (2539959375625 = 1593725²).

51835905625 divided by its sum of digits (49) gives a square (1057875625 = 32525²).

The spelling of 51835905625 in words is "fifty-one billion, eight hundred thirty-five million, nine hundred five thousand, six hundred twenty-five".