413005520431 has 64 divisors (see below), whose sum is σ = 497696348160. Its totient is φ = 335399339520.

The previous prime is 413005520429. The next prime is 413005520449. The reversal of 413005520431 is 134025500314.

It is not a de Polignac number, because 413005520431 - 2¹ = 413005520429 is a prime.

It is a super-2 number, since 2×413005520431² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413005520431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413005520471) 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, 626715180 + ... + 626715838.

It is an arithmetic number, because the mean of its divisors is an integer number (7776505440).

Almost surely, 2^413005520431 is an apocalyptic number.

413005520431 is a deficient number, since it is larger than the sum of its proper divisors (84690827729).

413005520431 is a wasteful number, since it uses less digits than its factorization.

413005520431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144.

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 413005520431 in words is "four hundred thirteen billion, five million, five hundred twenty thousand, four hundred thirty-one".