51753636 has 81 divisors (see below), whose sum is σ = 145127073. Its totient is φ = 15539040.

The previous prime is 51753631. The next prime is 51753649. The reversal of 51753636 is 63635715.

It is a happy number.

The square root of 51753636 is 7194.

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

51753636 is a `hidden beast` number, since 5 + 17 + 5 + 3 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36072036 + 15681600 = 6006^2 + 3960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51753636.

It is not an unprimeable number, because it can be changed into a prime (51753631) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 474750 + ... + 474858.

Almost surely, 2^51753636 is an apocalyptic number.

51753636 is the 7194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51753636

51753636 is an abundant number, since it is smaller than the sum of its proper divisors (93373437).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51753636 is a wasteful number, since it uses less digits than its factorization.

51753636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 125 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The cubic root of 51753636 is about 372.6607230994.

Multiplying 51753636 by its sum of digits (36), we get a square (1863130896 = 43164²).

51753636 divided by its sum of digits (36) gives a square (1437601 = 1199²).

The spelling of 51753636 in words is "fifty-one million, seven hundred fifty-three thousand, six hundred thirty-six".