56305610361 has 288 divisors, whose sum is σ = 116371382400. Its totient is φ = 25761576960.

The previous prime is 56305610353. The next prime is 56305610381. The reversal of 56305610361 is 16301650365.

56305610361 is a `hidden beast` number, since 5 + 6 + 3 + 0 + 5 + 610 + 36 + 1 = 666.

It is not a de Polignac number, because 56305610361 - 2³ = 56305610353 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56305610311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 137666325 + ... + 137666733.

It is an arithmetic number, because the mean of its divisors is an integer number (404067300).

Almost surely, 2^56305610361 is an apocalyptic number.

It is an amenable number.

56305610361 is an abundant number, since it is smaller than the sum of its proper divisors (60065772039).

56305610361 is a wasteful number, since it uses less digits than its factorization.

56305610361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

It can be divided in two parts, 56305 and 610361, that added together give a palindrome (666666).

The spelling of 56305610361 in words is "fifty-six billion, three hundred five million, six hundred ten thousand, three hundred sixty-one".