56578131 has 24 divisors (see below), whose sum is σ = 84988800. Its totient is φ = 36230400.

The previous prime is 56578129. The next prime is 56578133. The reversal of 56578131 is 13187565.

56578131 is a `hidden beast` number, since 56 + 578 + 1 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (56578129) and next prime (56578133).

It is not a de Polignac number, because 56578131 - 2¹ = 56578129 is a prime.

It is a super-3 number, since 3×56578131³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56578133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40891 + ... + 42251.

It is an arithmetic number, because the mean of its divisors is an integer number (3541200).

Almost surely, 2^56578131 is an apocalyptic number.

56578131 is a deficient number, since it is larger than the sum of its proper divisors (28410669).

56578131 is a wasteful number, since it uses less digits than its factorization.

56578131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1544 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 56578131 is about 7521.8435905036. The cubic root of 56578131 is about 383.8983088472.

The spelling of 56578131 in words is "fifty-six million, five hundred seventy-eight thousand, one hundred thirty-one".