56361312 has 96 divisors (see below), whose sum is σ = 187891200. Its totient is φ = 16101504.

The previous prime is 56361311. The next prime is 56361337. The reversal of 56361312 is 21316365.

56361312 is a `hidden beast` number, since 5 + 636 + 13 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×56361312² = 6353194980722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56361311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389 + ... + 10707.

It is an arithmetic number, because the mean of its divisors is an integer number (1957200).

Almost surely, 2^56361312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93945600).

56361312 is an abundant number, since it is smaller than the sum of its proper divisors (131529888).

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

56361312 is a wasteful number, since it uses less digits than its factorization.

56361312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345 (or 9331 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 56361312 is about 7507.4171324098. The cubic root of 56361312 is about 383.4072887346.

Adding to 56361312 its reverse (21316365), we get a palindrome (77677677).

The spelling of 56361312 in words is "fifty-six million, three hundred sixty-one thousand, three hundred twelve".