504973580265 has 256 divisors, whose sum is σ = 1183951503360. Its totient is φ = 197978204160.

The previous prime is 504973580249. The next prime is 504973580269. The reversal of 504973580265 is 562085379405.

504973580265 is a `hidden beast` number, since 50 + 4 + 9 + 7 + 3 + 580 + 2 + 6 + 5 = 666.

It is not a de Polignac number, because 504973580265 - 2⁴ = 504973580249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (504973580269) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17438739 + ... + 17467671.

It is an arithmetic number, because the mean of its divisors is an integer number (4624810560).

Almost surely, 2^504973580265 is an apocalyptic number.

504973580265 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504973580265 is an abundant number, since it is smaller than the sum of its proper divisors (678977923095).

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

504973580265 is a wasteful number, since it uses less digits than its factorization.

504973580265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29061 (or 29055 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 504973580265 in words is "five hundred four billion, nine hundred seventy-three million, five hundred eighty thousand, two hundred sixty-five".