56735558354601 has 27 divisors (see below), whose sum is σ = 95331442066263. Its totient is φ = 32420228672160.

The previous prime is 56735558354581. The next prime is 56735558354677. The reversal of 56735558354601 is 10645385553765.

The square root of 56735558354601 is 7532301.

It is a perfect power (a square), and thus also a powerful number.

56735558354601 is a `hidden beast` number, since 5 + 6 + 7 + 3 + 5 + 5 + 5 + 83 + 546 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22230272580201 + 34505285774400 = 4714899^2 + 5874120^2 .

It is not a de Polignac number, because 56735558354601 - 2³³ = 56726968420009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56735558354801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 157998981 + ... + 158357661.

Almost surely, 2^{56735558354601} is an apocalyptic number.

56735558354601 is the 7532301-st square number.

56735558354601 is the 3766151-st centered octagonal number.

It is an amenable number.

56735558354601 is a deficient number, since it is larger than the sum of its proper divisors (38595883711662).

56735558354601 is an frugal number, since it uses more digits than its factorization.

56735558354601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717382 (or 358691 counting only the distinct ones).

The product of its (nonzero) digits is 226800000, while the sum is 63.

The spelling of 56735558354601 in words is "fifty-six trillion, seven hundred thirty-five billion, five hundred fifty-eight million, three hundred fifty-four thousand, six hundred one".