54013516642125 has 256 divisors, whose sum is σ = 108791175168000. Its totient is φ = 26339002502400.

The previous prime is 54013516642079. The next prime is 54013516642139. The reversal of 54013516642125 is 52124661531045.

54013516642125 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 3 + 516 + 6 + 4 + 2 + 125 = 666.

It is not a de Polignac number, because 54013516642125 - 2⁶ = 54013516642061 is a prime.

It is a super-2 number, since 2×54013516642125² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6149775484 + ... + 6149784266.

It is an arithmetic number, because the mean of its divisors is an integer number (424965528000).

Almost surely, 2^{54013516642125} is an apocalyptic number.

It is an amenable number.

54013516642125 is an abundant number, since it is smaller than the sum of its proper divisors (54777658525875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54013516642125 is a wasteful number, since it uses less digits than its factorization.

54013516642125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162 (or 12146 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 54013516642125 in words is "fifty-four trillion, thirteen billion, five hundred sixteen million, six hundred forty-two thousand, one hundred twenty-five".