51392313000 has 640 divisors, whose sum is σ = 206705790720. Its totient is φ = 11715321600.

The previous prime is 51392312987. The next prime is 51392313059. The reversal of 51392313000 is 31329315.

It is a happy number.

51392313000 is a `hidden beast` number, since 513 + 92 + 31 + 30 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 137780814 + ... + 137781186.

It is an arithmetic number, because the mean of its divisors is an integer number (322977798).

Almost surely, 2^51392313000 is an apocalyptic number.

51392313000 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 51392313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103352895360).

51392313000 is an abundant number, since it is smaller than the sum of its proper divisors (155313477720).

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

51392313000 is an frugal number, since it uses more digits than its factorization.

51392313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 51392313000 in words is "fifty-one billion, three hundred ninety-two million, three hundred thirteen thousand".