57005532 has 60 divisors (see below), whose sum is σ = 154187880. Its totient is φ = 18343584.

The previous prime is 57005527. The next prime is 57005551. The reversal of 57005532 is 23550075.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 57005496 and 57005505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6363 + ... + 12429.

It is an arithmetic number, because the mean of its divisors is an integer number (2569798).

Almost surely, 2^57005532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57005532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77093940).

57005532 is an abundant number, since it is smaller than the sum of its proper divisors (97182348).

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

57005532 is a wasteful number, since it uses less digits than its factorization.

57005532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6112 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 57005532 is about 7550.2007920320. The cubic root of 57005532 is about 384.8625629637.

The spelling of 57005532 in words is "fifty-seven million, five thousand, five hundred thirty-two".