413120512521 has 20 divisors (see below), whose sum is σ = 618523767312. Its totient is φ = 274791949848.

The previous prime is 413120512481. The next prime is 413120512529. The reversal of 413120512521 is 125215021314.

It is a happy number.

413120512521 is a `hidden beast` number, since 4 + 1 + 3 + 120 + 5 + 12 + 521 = 666.

It is not a de Polignac number, because 413120512521 - 2¹⁵ = 413120479753 is a prime.

It is a super-2 number, since 2×413120512521² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (413120512529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5720611 + ... + 5792376.

Almost surely, 2^413120512521 is an apocalyptic number.

It is an amenable number.

413120512521 is a deficient number, since it is larger than the sum of its proper divisors (205403254791).

413120512521 is a wasteful number, since it uses less digits than its factorization.

413120512521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11513442 (or 11513433 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 413120512521 its reverse (125215021314), we get a palindrome (538335533835).

The spelling of 413120512521 in words is "four hundred thirteen billion, one hundred twenty million, five hundred twelve thousand, five hundred twenty-one".