51463577536415 has 96 divisors (see below), whose sum is σ = 69648972180480. Its totient is φ = 36466480512000.

The previous prime is 51463577536387. The next prime is 51463577536429.

51463577536415 is nontrivially palindromic in base 10.

51463577536415 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 51463577536415 - 2²⁶ = 51463510427551 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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1664879810 + ... + 1664910720.

It is an arithmetic number, because the mean of its divisors is an integer number (725510126880).

Almost surely, 2^{51463577536415} is an apocalyptic number.

51463577536415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51463577536415 is a deficient number, since it is larger than the sum of its proper divisors (18185394644065).

51463577536415 is a wasteful number, since it uses less digits than its factorization.

51463577536415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31425 (or 31414 counting only the distinct ones).

The product of its digits is 158760000, while the sum is 62.

The spelling of 51463577536415 in words is "fifty-one trillion, four hundred sixty-three billion, five hundred seventy-seven million, five hundred thirty-six thousand, four hundred fifteen".