56501610 has 64 divisors (see below), whose sum is σ = 149174784. Its totient is φ = 13582400.

The previous prime is 56501609. The next prime is 56501617. The reversal of 56501610 is 1610565.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56501617) 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, 42577 + ... + 43883.

It is an arithmetic number, because the mean of its divisors is an integer number (2330856).

Almost surely, 2^56501610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56501610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74587392).

56501610 is an abundant number, since it is smaller than the sum of its proper divisors (92673174).

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

56501610 is a wasteful number, since it uses less digits than its factorization.

56501610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 56501610 is about 7516.7552840305. The cubic root of 56501610 is about 383.7251586943.

It can be divided in two parts, 5650 and 1610, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 56501610 in words is "fifty-six million, five hundred one thousand, six hundred ten".