51613175815344 has 800 divisors, whose sum is σ = 180382938253056. Its totient is φ = 14036132874240.

The previous prime is 51613175815231. The next prime is 51613175815349. The reversal of 51613175815344 is 44351857131615.

51613175815344 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 3 + 1 + 7 + 581 + 53 + 4 + 4 = 666.

It is a super-2 number, since 2×51613175815344² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (51613175815349) 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 159 ways as a sum of consecutive naturals, for example, 13076556379 + ... + 13076560325.

Almost surely, 2^{51613175815344} is an apocalyptic number.

51613175815344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51613175815344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90191469126528).

51613175815344 is an abundant number, since it is smaller than the sum of its proper divisors (128769762437712).

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

51613175815344 is a wasteful number, since it uses less digits than its factorization.

51613175815344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5920 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 51613175815344 in words is "fifty-one trillion, six hundred thirteen billion, one hundred seventy-five million, eight hundred fifteen thousand, three hundred forty-four".