54736813681 has 9 divisors (see below), whose sum is σ = 60168086923. Its totient is φ = 49758400120.

The previous prime is 54736813669. The next prime is 54736813693. The reversal of 54736813681 is 18631863745.

It is a happy number.

The square root of 54736813681 is 233959.

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

It is an interprime number because it is at equal distance from previous prime (54736813669) and next prime (54736813693).

It can be written as a sum of positive squares in only one way, i.e., 32026323681 + 22710490000 = 178959^2 + 150700^2 .

It is not a de Polignac number, because 54736813681 - 2⁹ = 54736813169 is a prime.

It is a super-2 number, since 2×54736813681² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54736813601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2562915 + ... + 2584183.

Almost surely, 2^54736813681 is an apocalyptic number.

54736813681 is the 233959-th square number.

54736813681 is the 116980-th centered octagonal number.

It is an amenable number.

54736813681 is a deficient number, since it is larger than the sum of its proper divisors (5431273242).

54736813681 is an frugal number, since it uses more digits than its factorization.

54736813681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42560 (or 21280 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The spelling of 54736813681 in words is "fifty-four billion, seven hundred thirty-six million, eight hundred thirteen thousand, six hundred eighty-one".