56582136901 has 16 divisors (see below), whose sum is σ = 58795806960. Its totient is φ = 54386519040.

The previous prime is 56582136889. The next prime is 56582136973. The reversal of 56582136901 is 10963128565.

It is a Cunningham number, because it is equal to 237870²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1428084100 + 55154052801 = 37790^2 + 234849^2 .

It is a cyclic number.

It is not a de Polignac number, because 56582136901 - 2⁵ = 56582136869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56582136601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6410071 + ... + 6418891.

It is an arithmetic number, because the mean of its divisors is an integer number (3674737935).

Almost surely, 2^56582136901 is an apocalyptic number.

It is an amenable number.

56582136901 is a deficient number, since it is larger than the sum of its proper divisors (2213670059).

56582136901 is a wasteful number, since it uses less digits than its factorization.

56582136901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9816.

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 56582136901 in words is "fifty-six billion, five hundred eighty-two million, one hundred thirty-six thousand, nine hundred one".