57509436 has 48 divisors (see below), whose sum is σ = 146996640. Its totient is φ = 17418240.

The previous prime is 57509423. The next prime is 57509437. The reversal of 57509436 is 63490575.

It is a junction number, because it is equal to n+sod(n) for n = 57509394 and 57509403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57509437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056 + ... + 10776.

It is an arithmetic number, because the mean of its divisors is an integer number (3062430).

Almost surely, 2^57509436 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 57509436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73498320).

57509436 is an abundant number, since it is smaller than the sum of its proper divisors (89487204).

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

57509436 is a wasteful number, since it uses less digits than its factorization.

57509436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9774 (or 9772 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 57509436 is about 7583.4976099423. The cubic root of 57509436 is about 385.9932435482.

The spelling of 57509436 in words is "fifty-seven million, five hundred nine thousand, four hundred thirty-six".