56129637 has 16 divisors (see below), whose sum is σ = 78266880. Its totient is φ = 35713392.

The previous prime is 56129617. The next prime is 56129651. The reversal of 56129637 is 73692165.

56129637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56129637 - 2⁷ = 56129509 is a prime.

It is a super-3 number, since 3×56129637³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 56129595 and 56129604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56129617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58798 + ... + 59744.

It is an arithmetic number, because the mean of its divisors is an integer number (4891680).

Almost surely, 2^56129637 is an apocalyptic number.

It is an amenable number.

56129637 is a deficient number, since it is larger than the sum of its proper divisors (22137243).

56129637 is a wasteful number, since it uses less digits than its factorization.

56129637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832.

The product of its digits is 68040, while the sum is 39.

The square root of 56129637 is about 7491.9715028823. The cubic root of 56129637 is about 382.8812312531.

The spelling of 56129637 in words is "fifty-six million, one hundred twenty-nine thousand, six hundred thirty-seven".