57521268 has 144 divisors (see below), whose sum is σ = 182407680. Its totient is φ = 14902272.

The previous prime is 57521263. The next prime is 57521281. The reversal of 57521268 is 86212575.

It is a happy number.

57521268 is a `hidden beast` number, since 575 + 21 + 2 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57521263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124005 + ... + 124467.

It is an arithmetic number, because the mean of its divisors is an integer number (1266720).

Almost surely, 2^57521268 is an apocalyptic number.

57521268 is a gapful number since it is divisible by the number (58) 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 57521268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91203840).

57521268 is an abundant number, since it is smaller than the sum of its proper divisors (124886412).

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

57521268 is a wasteful number, since it uses less digits than its factorization.

57521268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 521 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 57521268 is about 7584.2776847898. The cubic root of 57521268 is about 386.0197131690.

The spelling of 57521268 in words is "fifty-seven million, five hundred twenty-one thousand, two hundred sixty-eight".