509504971560 has 256 divisors, whose sum is σ = 1767476712960. Its totient is φ = 116376207360.

The previous prime is 509504971559. The next prime is 509504971571. The reversal of 509504971560 is 65179405905.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 1747624 + ... + 2018216.

It is an arithmetic number, because the mean of its divisors is an integer number (6904205910).

Almost surely, 2^509504971560 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 509504971560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883738356480).

509504971560 is an abundant number, since it is smaller than the sum of its proper divisors (1257971741400).

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

509504971560 is a wasteful number, since it uses less digits than its factorization.

509504971560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270708 (or 270704 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 51.

The spelling of 509504971560 in words is "five hundred nine billion, five hundred four million, nine hundred seventy-one thousand, five hundred sixty".