51755256 has 96 divisors (see below), whose sum is σ = 165765600. Its totient is φ = 14273280.

The previous prime is 51755239. The next prime is 51755257. The reversal of 51755256 is 65255715.

It is a happy number.

51755256 is a `hidden beast` number, since 51 + 7 + 552 + 56 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 51755256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51755257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12846 + ... + 16386.

It is an arithmetic number, because the mean of its divisors is an integer number (1726725).

Almost surely, 2^51755256 is an apocalyptic number.

51755256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51755256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82882800).

51755256 is an abundant number, since it is smaller than the sum of its proper divisors (114010344).

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

51755256 is a wasteful number, since it uses less digits than its factorization.

51755256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3582 counting only the distinct ones).

The product of its digits is 52500, while the sum is 36.

The square root of 51755256 is about 7194.1125929471. The cubic root of 51755256 is about 372.6646114193.

The spelling of 51755256 in words is "fifty-one million, seven hundred fifty-five thousand, two hundred fifty-six".