504088065 has 48 divisors (see below), whose sum is σ = 944313552. Its totient is φ = 247283712.

The previous prime is 504088061. The next prime is 504088103. The reversal of 504088065 is 560880405.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 62583921 + 441504144 = 7911^2 + 21012^2 .

It is not a de Polignac number, because 504088065 - 2² = 504088061 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (504088061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181729 + ... + 184481.

It is an arithmetic number, because the mean of its divisors is an integer number (19673199).

Almost surely, 2^504088065 is an apocalyptic number.

It is an amenable number.

504088065 is a deficient number, since it is larger than the sum of its proper divisors (440225487).

504088065 is a wasteful number, since it uses less digits than its factorization.

504088065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 504088065 is about 22451.9055984119. The cubic root of 504088065 is about 795.8577901594.

The spelling of 504088065 in words is "five hundred four million, eighty-eight thousand, sixty-five".