51461616415 has 24 divisors (see below), whose sum is σ = 67896425520. Its totient is φ = 37416635520.

The previous prime is 51461616403. The next prime is 51461616431.

51461616415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51461616415 - 2¹³ = 51461608223 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2852052 + ... + 2870038.

It is an arithmetic number, because the mean of its divisors is an integer number (2829017730).

Almost surely, 2^51461616415 is an apocalyptic number.

51461616415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51461616415 is a deficient number, since it is larger than the sum of its proper divisors (16434809105).

51461616415 is a wasteful number, since it uses less digits than its factorization.

51461616415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22743 (or 22732 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The spelling of 51461616415 in words is "fifty-one billion, four hundred sixty-one million, six hundred sixteen thousand, four hundred fifteen".