54213300331245 has 24 divisors (see below), whose sum is σ = 102512422445472. Its totient is φ = 26285236524000.

The previous prime is 54213300331219. The next prime is 54213300331261.

54213300331245 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 330 + 0 + 3 + 312 + 4 + 5 = 666.

54213300331245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54213300331245 - 2⁵ = 54213300331213 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 54760908931 + ... + 54760909920.

It is an arithmetic number, because the mean of its divisors is an integer number (4271350935228).

Almost surely, 2^{54213300331245} is an apocalyptic number.

54213300331245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54213300331245 is a deficient number, since it is larger than the sum of its proper divisors (48299122114227).

54213300331245 is a wasteful number, since it uses less digits than its factorization.

54213300331245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109521818873 (or 109521818870 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 54213300 and 331245, that added together give a palindrome (54544545).

The spelling of 54213300331245 in words is "fifty-four trillion, two hundred thirteen billion, three hundred million, three hundred thirty-one thousand, two hundred forty-five".