54105561316251 has 48 divisors (see below), whose sum is σ = 80962729436160. Its totient is φ = 34781795928000.

The previous prime is 54105561316249. The next prime is 54105561316253. The reversal of 54105561316251 is 15261316550145.

54105561316251 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 5 + 5 + 6 + 13 + 1 + 625 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (54105561316249) and next prime (54105561316253).

It is not a de Polignac number, because 54105561316251 - 2¹ = 54105561316249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54105561316197 and 54105561316206.

It is not an unprimeable number, because it can be changed into a prime (54105561316253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165048616 + ... + 165376106.

It is an arithmetic number, because the mean of its divisors is an integer number (1686723529920).

Almost surely, 2^{54105561316251} is an apocalyptic number.

54105561316251 is a deficient number, since it is larger than the sum of its proper divisors (26857168119909).

54105561316251 is a wasteful number, since it uses less digits than its factorization.

54105561316251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329648 (or 329645 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

Adding to 54105561316251 its reverse (15261316550145), we get a palindrome (69366877866396).

The spelling of 54105561316251 in words is "fifty-four trillion, one hundred five billion, five hundred sixty-one million, three hundred sixteen thousand, two hundred fifty-one".