413666362561 has 9 divisors (see below), whose sum is σ = 436597064193. Its totient is φ = 391882871700.

The previous prime is 413666362559. The next prime is 413666362601. The reversal of 413666362561 is 165263666314.

The square root of 413666362561 is 643169.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 413666362561 - 2¹ = 413666362559 is a prime.

It is a super-2 number, since 2×413666362561² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413666302561) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12203286 + ... + 12237136.

Almost surely, 2^413666362561 is an apocalyptic number.

413666362561 is the 643169-th square number.

413666362561 is the 321585-th centered octagonal number.

It is an amenable number.

413666362561 is a deficient number, since it is larger than the sum of its proper divisors (22930701632).

413666362561 is an frugal number, since it uses more digits than its factorization.

413666362561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67740 (or 33870 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 49.

Multiplying 413666362561 by its sum of digits (49), we get a square (20269651765489 = 4502183²).

The spelling of 413666362561 in words is "four hundred thirteen billion, six hundred sixty-six million, three hundred sixty-two thousand, five hundred sixty-one".