54015132520305 has 80 divisors (see below), whose sum is σ = 111189044894400. Its totient is φ = 24810778535040.

The previous prime is 54015132520291. The next prime is 54015132520331. The reversal of 54015132520305 is 50302523151045.

54015132520305 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 5 + 1 + 325 + 20 + 305 = 666.

It is not a de Polignac number, because 54015132520305 - 2¹⁴ = 54015132503921 is a prime.

It is a super-2 number, since 2×54015132520305² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54015132520305.

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 79 ways as a sum of consecutive naturals, for example, 318984010 + ... + 319153299.

It is an arithmetic number, because the mean of its divisors is an integer number (1389863061180).

Almost surely, 2^{54015132520305} is an apocalyptic number.

54015132520305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54015132520305 is an abundant number, since it is smaller than the sum of its proper divisors (57173912374095).

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

54015132520305 is a wasteful number, since it uses less digits than its factorization.

54015132520305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638137356 (or 638137347 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 54015132520305 in words is "fifty-four trillion, fifteen billion, one hundred thirty-two million, five hundred twenty thousand, three hundred five".