504365404563401 has 2 divisors, whose sum is σ = 504365404563402. Its totient is φ = 504365404563400.

The previous prime is 504365404563331. The next prime is 504365404563407. The reversal of 504365404563401 is 104365404563405.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 496587575220025 + 7777829343376 = 22284245^2 + 2788876^2 .

It is a cyclic number.

It is not a de Polignac number, because 504365404563401 - 2⁴² = 499967358052297 is a prime.

It is a super-2 number, since 2×504365404563401² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 504365404563401.

It is not a weakly prime, because it can be changed into another prime (504365404563407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252182702281700 + 252182702281701.

It is an arithmetic number, because the mean of its divisors is an integer number (252182702281701).

Almost surely, 2^{504365404563401} is an apocalyptic number.

It is an amenable number.

504365404563401 is a deficient number, since it is larger than the sum of its proper divisors (1).

504365404563401 is an equidigital number, since it uses as much as digits as its factorization.

504365404563401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368000, while the sum is 50.

The spelling of 504365404563401 in words is "five hundred four trillion, three hundred sixty-five billion, four hundred four million, five hundred sixty-three thousand, four hundred one".