55901177470681 has 27 divisors (see below), whose sum is σ = 59990534031519. Its totient is φ = 52082754894000.

The previous prime is 55901177470669. The next prime is 55901177470739. The reversal of 55901177470681 is 18607477110955.

It is a happy number.

The square root of 55901177470681 is 7476709.

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

It can be written as a sum of positive squares in only one way, i.e., 1817802331081 + 54083375139600 = 1348259^2 + 7354140^2 .

It is not a de Polignac number, because 55901177470681 - 2³¹ = 55899029987033 is a prime.

It is a super-2 number, since 2×55901177470681² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55901177470631) 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, 8665502506 + ... + 8665508956.

It is an arithmetic number, because the mean of its divisors is an integer number (2221871630797).

Almost surely, 2^{55901177470681} is an apocalyptic number.

55901177470681 is the 7476709-th square number.

55901177470681 is the 3738355-th centered octagonal number.

It is an amenable number.

55901177470681 is a deficient number, since it is larger than the sum of its proper divisors (4089356560838).

55901177470681 is an frugal number, since it uses more digits than its factorization.

55901177470681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13062 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 61.

The spelling of 55901177470681 in words is "fifty-five trillion, nine hundred one billion, one hundred seventy-seven million, four hundred seventy thousand, six hundred eighty-one".