413536400505 has 12 divisors (see below), whose sum is σ = 716796427620. Its totient is φ = 220552746912.

The previous prime is 413536400483. The next prime is 413536400567. The reversal of 413536400505 is 505004635314.

413536400505 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 3 + 640 + 0 + 5 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74843827776 + 338692572729 = 273576^2 + 581973^2 .

It is not a de Polignac number, because 413536400505 - 2³⁰ = 412462658681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413536400505.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4594848850 + ... + 4594848939.

It is an arithmetic number, because the mean of its divisors is an integer number (59733035635).

Almost surely, 2^413536400505 is an apocalyptic number.

413536400505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413536400505 is a deficient number, since it is larger than the sum of its proper divisors (303260027115).

413536400505 is a wasteful number, since it uses less digits than its factorization.

413536400505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189697800 (or 9189697797 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 413536400505 in words is "four hundred thirteen billion, five hundred thirty-six million, four hundred thousand, five hundred five".