504859564407 has 64 divisors (see below), whose sum is σ = 749614694400. Its totient is φ = 299687195520.

The previous prime is 504859564381. The next prime is 504859564409. The reversal of 504859564407 is 704465958405.

It is not a de Polignac number, because 504859564407 - 2¹² = 504859560311 is a prime.

It is a super-3 number, since 3×504859564407³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504859564409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319732944 + ... + 319734522.

It is an arithmetic number, because the mean of its divisors is an integer number (11712729600).

Almost surely, 2^504859564407 is an apocalyptic number.

504859564407 is a deficient number, since it is larger than the sum of its proper divisors (244755129993).

504859564407 is a wasteful number, since it uses less digits than its factorization.

504859564407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668.

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 504859564407 in words is "five hundred four billion, eight hundred fifty-nine million, five hundred sixty-four thousand, four hundred seven".