56135601 has 24 divisors (see below), whose sum is σ = 83701800. Its totient is φ = 36230400.

The previous prime is 56135591. The next prime is 56135621. The reversal of 56135601 is 10653165.

It is a happy number.

56135601 is a `hidden beast` number, since 56 + 1 + 3 + 5 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 245025 + 55890576 = 495^2 + 7476^2 .

It is not a de Polignac number, because 56135601 - 2⁶ = 56135537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56135621) 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, 54471 + ... + 55491.

It is an arithmetic number, because the mean of its divisors is an integer number (3487575).

Almost surely, 2^56135601 is an apocalyptic number.

It is an amenable number.

56135601 is a deficient number, since it is larger than the sum of its proper divisors (27566199).

56135601 is a wasteful number, since it uses less digits than its factorization.

56135601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 56135601 is about 7492.3695183834. The cubic root of 56135601 is about 382.8947916638.

Adding to 56135601 its reverse (10653165), we get a palindrome (66788766).

The spelling of 56135601 in words is "fifty-six million, one hundred thirty-five thousand, six hundred one".