504338588225 has 24 divisors (see below), whose sum is σ = 633396628920. Its totient is φ = 398325496320.

The previous prime is 504338588203. The next prime is 504338588291. The reversal of 504338588225 is 522885833405.

It is a Cunningham number, because it is equal to 710168²+1.

It can be written as a sum of positive squares in 12 ways, for example, as 292997029264 + 211341558961 = 541292^2 + 459719^2 .

It is not a de Polignac number, because 504338588225 - 2¹⁸ = 504338326081 is a prime.

It is a super-2 number, since 2×504338588225² (a number of 24 digits) contains 22 as substring.

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, 420749 + ... + 1088901.

It is an arithmetic number, because the mean of its divisors is an integer number (26391526205).

Almost surely, 2^504338588225 is an apocalyptic number.

It is an amenable number.

504338588225 is a deficient number, since it is larger than the sum of its proper divisors (129058040695).

504338588225 is a wasteful number, since it uses less digits than its factorization.

504338588225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668549 (or 668544 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 53.

The spelling of 504338588225 in words is "five hundred four billion, three hundred thirty-eight million, five hundred eighty-eight thousand, two hundred twenty-five".