51465533556415 has 32 divisors (see below), whose sum is σ = 68962365179136. Its totient is φ = 36547100674560.

The previous prime is 51465533556377. The next prime is 51465533556421.

51465533556415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51465533556415 - 2⁹ = 51465533555903 is a prime.

It is a super-2 number, since 2×51465533556415² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 51465533556415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3705799 + ... + 10801111.

It is an arithmetic number, because the mean of its divisors is an integer number (2155073911848).

Almost surely, 2^{51465533556415} is an apocalyptic number.

51465533556415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51465533556415 is a deficient number, since it is larger than the sum of its proper divisors (17496831622721).

51465533556415 is a wasteful number, since it uses less digits than its factorization.

51465533556415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7098439.

The product of its digits is 81000000, while the sum is 58.

The spelling of 51465533556415 in words is "fifty-one trillion, four hundred sixty-five billion, five hundred thirty-three million, five hundred fifty-six thousand, four hundred fifteen".