51936131025 has 27 divisors (see below), whose sum is σ = 93029504529. Its totient is φ = 27697446720.

The previous prime is 51936130997. The next prime is 51936131047. The reversal of 51936131025 is 52013163915.

It is a happy number.

The square root of 51936131025 is 227895.

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

51936131025 is a `hidden beast` number, since 5 + 1 + 9 + 3 + 613 + 10 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12537056961 + 39399074064 = 111969^2 + 198492^2 .

It is not a de Polignac number, because 51936131025 - 2¹¹ = 51936128977 is a prime.

It is a Curzon number.

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, 3410829 + ... + 3426021.

Almost surely, 2^51936131025 is an apocalyptic number.

51936131025 is the 227895-th square number.

51936131025 is the 113948-th centered octagonal number.

It is an amenable number.

51936131025 is a deficient number, since it is larger than the sum of its proper divisors (41093373504).

51936131025 is an frugal number, since it uses more digits than its factorization.

51936131025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30402 (or 15201 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

Multiplying 51936131025 by its sum of digits (36), we get a square (1869700716900 = 1367370²).

The spelling of 51936131025 in words is "fifty-one billion, nine hundred thirty-six million, one hundred thirty-one thousand, twenty-five".