51521164635114 has 64 divisors (see below), whose sum is σ = 121261796081280. Its totient is φ = 16158765784320.

The previous prime is 51521164635113. The next prime is 51521164635137. The reversal of 51521164635114 is 41153646112515.

51521164635114 is a `hidden beast` number, since 5 + 1 + 5 + 2 + 1 + 1 + 6 + 4 + 635 + 1 + 1 + 4 = 666.

It is a super-3 number, since 3×51521164635114³ (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51521164635114.

It is not an unprimeable number, because it can be changed into a prime (51521164635113) 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, 5088852 + ... + 11355119.

It is an arithmetic number, because the mean of its divisors is an integer number (1894715563770).

Almost surely, 2^{51521164635114} is an apocalyptic number.

51521164635114 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51521164635114 is an abundant number, since it is smaller than the sum of its proper divisors (69740631446166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51521164635114 is a wasteful number, since it uses less digits than its factorization.

51521164635114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16447412 (or 16447406 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 51521164635114 in words is "fifty-one trillion, five hundred twenty-one billion, one hundred sixty-four million, six hundred thirty-five thousand, one hundred fourteen".