54107877321 has 27 divisors (see below), whose sum is σ = 83041866453. Its totient is φ = 33942597120.

The previous prime is 54107877293. The next prime is 54107877427. The reversal of 54107877321 is 12377870145.

The square root of 54107877321 is 232611.

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

54107877321 is a `hidden beast` number, since 541 + 0 + 7 + 8 + 77 + 32 + 1 = 666.

54107877321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 868775625 + 53239101696 = 29475^2 + 230736^2 .

It is not a de Polignac number, because 54107877321 - 2⁵ = 54107877289 is a prime.

It is a super-2 number, since 2×54107877321² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54107872321) 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, 11860881 + ... + 11865441.

Almost surely, 2^54107877321 is an apocalyptic number.

54107877321 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

54107877321 is the 232611-st square number.

54107877321 is the 116306-th centered octagonal number.

It is an amenable number.

54107877321 is a deficient number, since it is larger than the sum of its proper divisors (28933989132).

54107877321 is an frugal number, since it uses more digits than its factorization.

54107877321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 54107877321 in words is "fifty-four billion, one hundred seven million, eight hundred seventy-seven thousand, three hundred twenty-one".