54201566510245 has 64 divisors (see below), whose sum is σ = 85368625551360. Its totient is φ = 32006113977600.

The previous prime is 54201566510183. The next prime is 54201566510257.

54201566510245 is nontrivially palindromic in base 10.

54201566510245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54201566510245 - 2²⁷ = 54201432292517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54201566510195 and 54201566510204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66093139 + ... + 66908191.

It is an arithmetic number, because the mean of its divisors is an integer number (1333884774240).

Almost surely, 2^{54201566510245} is an apocalyptic number.

54201566510245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54201566510245 is a deficient number, since it is larger than the sum of its proper divisors (31167059041115).

54201566510245 is a wasteful number, since it uses less digits than its factorization.

54201566510245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824186.

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 54201566510245 in words is "fifty-four trillion, two hundred one billion, five hundred sixty-six million, five hundred ten thousand, two hundred forty-five".