51331113315 has 64 divisors (see below), whose sum is σ = 94877798400. Its totient is φ = 26302579200.

The previous prime is 51331113313. The next prime is 51331113359.

It is a happy number.

51331113315 is a `hidden beast` number, since 5 + 1 + 331 + 1 + 13 + 315 = 666.

51331113315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51331113315 - 2¹ = 51331113313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (51331113313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 537595 + ... + 625835.

It is an arithmetic number, because the mean of its divisors is an integer number (1482465600).

Almost surely, 2^51331113315 is an apocalyptic number.

51331113315 is a deficient number, since it is larger than the sum of its proper divisors (43546685085).

51331113315 is a wasteful number, since it uses less digits than its factorization.

51331113315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88425 (or 88419 counting only the distinct ones).

The product of its digits is 2025, while the sum is 27.

The spelling of 51331113315 in words is "fifty-one billion, three hundred thirty-one million, one hundred thirteen thousand, three hundred fifteen".