51451815415 has 192 divisors, whose sum is σ = 88975595520. Its totient is φ = 27713664000.

The previous prime is 51451815413. The next prime is 51451815449.

51451815415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51451815415 - 2¹ = 51451815413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51451815413) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 105650302 + ... + 105650788.

It is an arithmetic number, because the mean of its divisors is an integer number (463414560).

Almost surely, 2^51451815415 is an apocalyptic number.

51451815415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51451815415 is a deficient number, since it is larger than the sum of its proper divisors (37523780105).

51451815415 is a wasteful number, since it uses less digits than its factorization.

51451815415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 643 counting only the distinct ones).

The product of its digits is 80000, while the sum is 40.

The spelling of 51451815415 in words is "fifty-one billion, four hundred fifty-one million, eight hundred fifteen thousand, four hundred fifteen".