56953125 has 56 divisors (see below), whose sum is σ = 106738008. Its totient is φ = 30375000.

The previous prime is 56953109. The next prime is 56953133. The reversal of 56953125 is 52135965.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 56340036 + 613089 = 7506^2 + 783^2 .

It is not a de Polignac number, because 56953125 - 2⁴ = 56953109 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 56953125.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 11390623 + ... + 11390627.

Almost surely, 2^56953125 is an apocalyptic number.

It is an amenable number.

56953125 is a deficient number, since it is larger than the sum of its proper divisors (49784883).

56953125 is an frugal number, since it uses more digits than its factorization.

56953125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 8 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 56953125 is about 7546.7294240618. The cubic root of 56953125 is about 384.7445880023.

Multiplying 56953125 by its product of digits (40500), we get a square (2306601562500 = 1518750²).

The spelling of 56953125 in words is "fifty-six million, nine hundred fifty-three thousand, one hundred twenty-five".