413315617653 has 64 divisors (see below), whose sum is σ = 637428440320. Its totient is φ = 264465616896.

The previous prime is 413315617607. The next prime is 413315617699. The reversal of 413315617653 is 356716513314.

413315617653 is a `hidden beast` number, since 4 + 1 + 3 + 31 + 561 + 7 + 6 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (413315617607) and next prime (413315617699).

It is not a de Polignac number, because 413315617653 - 2¹⁴ = 413315601269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413315617599 and 413315617608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413315617153) 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, 30323826 + ... + 30337452.

It is an arithmetic number, because the mean of its divisors is an integer number (9959819380).

Almost surely, 2^413315617653 is an apocalyptic number.

It is an amenable number.

413315617653 is a deficient number, since it is larger than the sum of its proper divisors (224112822667).

413315617653 is a wasteful number, since it uses less digits than its factorization.

413315617653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14083 (or 14077 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 413315617653 in words is "four hundred thirteen billion, three hundred fifteen million, six hundred seventeen thousand, six hundred fifty-three".