512630254132920 has 1440 divisors, whose sum is σ = 2148772287168000. Its totient is φ = 105675065717760.

The previous prime is 512630254132817. The next prime is 512630254132943. The reversal of 512630254132920 is 29231452036215.

It is a happy number.

512630254132920 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 302 + 54 + 1 + 3 + 292 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 32799931666 + ... + 32799947294.

It is an arithmetic number, because the mean of its divisors is an integer number (1492202977200).

Almost surely, 2^{512630254132920} 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 512630254132920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074386143584000).

512630254132920 is an abundant number, since it is smaller than the sum of its proper divisors (1636142033035080).

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

512630254132920 is a wasteful number, since it uses less digits than its factorization.

512630254132920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15831 (or 15784 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 512630254132920 in words is "five hundred twelve trillion, six hundred thirty billion, two hundred fifty-four million, one hundred thirty-two thousand, nine hundred twenty".