506300400504 has 96 divisors (see below), whose sum is σ = 1416247971840. Its totient is φ = 163232193600.

The previous prime is 506300400497. The next prime is 506300400511. The reversal of 506300400504 is 405004003605.

It is an interprime number because it is at equal distance from previous prime (506300400497) and next prime (506300400511).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4024849 + ... + 4148735.

It is an arithmetic number, because the mean of its divisors is an integer number (14752583040).

Almost surely, 2^506300400504 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 506300400504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708123985920).

506300400504 is an abundant number, since it is smaller than the sum of its proper divisors (909947571336).

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

506300400504 is a wasteful number, since it uses less digits than its factorization.

506300400504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125761 (or 125754 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 506300400504 in words is "five hundred six billion, three hundred million, four hundred thousand, five hundred four".