51252136320 has 1024 divisors, whose sum is σ = 215229726720. Its totient is φ = 10063872000.

The previous prime is 51252136217. The next prime is 51252136379. The reversal of 51252136320 is 2363125215.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 242901015 + ... + 242901225.

It is an arithmetic number, because the mean of its divisors is an integer number (210185280).

Almost surely, 2^51252136320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51252136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107614863360).

51252136320 is an abundant number, since it is smaller than the sum of its proper divisors (163977590400).

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

51252136320 is a wasteful number, since it uses less digits than its factorization.

51252136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 51252136320 in words is "fifty-one billion, two hundred fifty-two million, one hundred thirty-six thousand, three hundred twenty".