51135130156500 has 768 divisors, whose sum is σ = 184724546872320. Its totient is φ = 12132011520000.

The previous prime is 51135130156433. The next prime is 51135130156507. The reversal of 51135130156500 is 565103153115.

51135130156500 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 5 + 130 + 15 + 6 + 500 = 666.

51135130156500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51135130156500² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51135130156507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 597183690 + ... + 597269310.

It is an arithmetic number, because the mean of its divisors is an integer number (240526753740).

Almost surely, 2^{51135130156500} is an apocalyptic number.

51135130156500 is a gapful number since it is divisible by the number (50) 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 51135130156500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92362273436160).

51135130156500 is an abundant number, since it is smaller than the sum of its proper divisors (133589416715820).

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

51135130156500 is a wasteful number, since it uses less digits than its factorization.

51135130156500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85786 (or 85768 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The spelling of 51135130156500 in words is "fifty-one trillion, one hundred thirty-five billion, one hundred thirty million, one hundred fifty-six thousand, five hundred".