51948625 has 16 divisors (see below), whose sum is σ = 65731536. Its totient is φ = 40982400.

The previous prime is 51948623. The next prime is 51948661. The reversal of 51948625 is 52684915.

51948625 = 5096² + 5097².

It can be written as a sum of positive squares in 8 ways, for example, as 25969216 + 25979409 = 5096^2 + 5097^2 .

It is not a de Polignac number, because 51948625 - 2¹ = 51948623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51948623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6279 + ... + 11971.

It is an arithmetic number, because the mean of its divisors is an integer number (4108221).

Almost surely, 2^51948625 is an apocalyptic number.

51948625 is the 5097-th centered square number.

It is an amenable number.

51948625 is a deficient number, since it is larger than the sum of its proper divisors (13782911).

51948625 is an equidigital number, since it uses as much as digits as its factorization.

51948625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5771 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The square root of 51948625 is about 7207.5394553204. The cubic root of 51948625 is about 373.1281535366.

It can be divided in two parts, 51 and 948625, that added together give a square (948676 = 974²).

The spelling of 51948625 in words is "fifty-one million, nine hundred forty-eight thousand, six hundred twenty-five".