56187261 has 72 divisors (see below), whose sum is σ = 97120296. Its totient is φ = 31150080.

The previous prime is 56187233. The next prime is 56187277. The reversal of 56187261 is 16278165.

It can be written as a sum of positive squares in 12 ways, for example, as 29095236 + 27092025 = 5394^2 + 5205^2 .

It is not a de Polignac number, because 56187261 - 2¹⁰ = 56186237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56187361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1060111 + ... + 1060163.

It is an arithmetic number, because the mean of its divisors is an integer number (1348893).

Almost surely, 2^56187261 is an apocalyptic number.

56187261 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

56187261 is a deficient number, since it is larger than the sum of its proper divisors (40933035).

56187261 is a wasteful number, since it uses less digits than its factorization.

56187261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 56187261 is about 7495.8162330730. The cubic root of 56187261 is about 383.0122113875.

The spelling of 56187261 in words is "fifty-six million, one hundred eighty-seven thousand, two hundred sixty-one".