512504113500 has 144 divisors (see below), whose sum is σ = 1617758670528. Its totient is φ = 136585008000.

The previous prime is 512504113493. The next prime is 512504113501. The reversal of 512504113500 is 5311405215.

512504113500 is a `hidden beast` number, since 51 + 250 + 4 + 11 + 350 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512504113501) 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 47 ways as a sum of consecutive naturals, for example, 7584865 + ... + 7652135.

It is an arithmetic number, because the mean of its divisors is an integer number (11234435212).

Almost surely, 2^512504113500 is an apocalyptic number.

512504113500 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 512504113500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808879335264).

512504113500 is an abundant number, since it is smaller than the sum of its proper divisors (1105254557028).

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

512504113500 is a wasteful number, since it uses less digits than its factorization.

512504113500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68989 (or 68974 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 512504113500 its reverse (5311405215), we get a palindrome (517815518715).

The spelling of 512504113500 in words is "five hundred twelve billion, five hundred four million, one hundred thirteen thousand, five hundred".