51972600625 has 45 divisors (see below), whose sum is σ = 71471998983. Its totient is φ = 37752660000.

The previous prime is 51972600623. The next prime is 51972600629. The reversal of 51972600625 is 52600627915.

The square root of 51972600625 is 227975.

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 36478326049 + 15494274576 = 190993^2 + 124476^2 .

It is not a de Polignac number, because 51972600625 - 2¹ = 51972600623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51972600623) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 62692711 + ... + 62693539.

Almost surely, 2^51972600625 is an apocalyptic number.

51972600625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51972600625 is the 227975-th square number.

51972600625 is the 113988-th centered octagonal number.

It is an amenable number.

51972600625 is a deficient number, since it is larger than the sum of its proper divisors (19499398358).

51972600625 is an frugal number, since it uses more digits than its factorization.

51972600625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 51972600625 in words is "fifty-one billion, nine hundred seventy-two million, six hundred thousand, six hundred twenty-five".