51264133146215 has 32 divisors (see below), whose sum is σ = 71760558070080. Its totient is φ = 34742463232000.

The previous prime is 51264133146179. The next prime is 51264133146217.

51264133146215 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51264133146215 - 2¹⁸ = 51264132884071 is a prime.

It is a super-3 number, since 3×51264133146215³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51264133146217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271331060 + ... + 271519929.

It is an arithmetic number, because the mean of its divisors is an integer number (2242517439690).

Almost surely, 2^{51264133146215} is an apocalyptic number.

51264133146215 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51264133146215 is a deficient number, since it is larger than the sum of its proper divisors (20496424923865).

51264133146215 is a wasteful number, since it uses less digits than its factorization.

51264133146215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542851123.

The product of its digits is 518400, while the sum is 44.

The spelling of 51264133146215 in words is "fifty-one trillion, two hundred sixty-four billion, one hundred thirty-three million, one hundred forty-six thousand, two hundred fifteen".