55757052 has 96 divisors (see below), whose sum is σ = 157301760. Its totient is φ = 16977600.

The previous prime is 55757041. The next prime is 55757057. The reversal of 55757052 is 25075755.

55757052 is a `hidden beast` number, since 557 + 57 + 0 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55756998 and 55757016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55757057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211873 + ... + 212135.

It is an arithmetic number, because the mean of its divisors is an integer number (1638560).

Almost surely, 2^55757052 is an apocalyptic number.

55757052 is a gapful number since it is divisible by the number (52) 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 55757052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78650880).

55757052 is an abundant number, since it is smaller than the sum of its proper divisors (101544708).

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

55757052 is a wasteful number, since it uses less digits than its factorization.

55757052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 55757052 is about 7467.0644834500. The cubic root of 55757052 is about 382.0321692891.

The spelling of 55757052 in words is "fifty-five million, seven hundred fifty-seven thousand, fifty-two".