56537000 has 64 divisors (see below), whose sum is σ = 142506000. Its totient is φ = 20870400.

The previous prime is 56536993. The next prime is 56537017. The reversal of 56537000 is 73565.

It can be written as a sum of positive squares in 8 ways, for example, as 6041764 + 50495236 = 2458^2 + 7106^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10826 + ... + 15174.

Almost surely, 2^56537000 is an apocalyptic number.

56537000 is a gapful number since it is divisible by the number (50) 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 56537000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71253000).

56537000 is an abundant number, since it is smaller than the sum of its proper divisors (85969000).

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

56537000 is a wasteful number, since it uses less digits than its factorization.

56537000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 56537000 is about 7519.1089897673. The cubic root of 56537000 is about 383.8052578812.

The spelling of 56537000 in words is "fifty-six million, five hundred thirty-seven thousand".