413045012102125 has 16 divisors (see below), whose sum is σ = 555132496267440. Its totient is φ = 305017855089600.

The previous prime is 413045012101889. The next prime is 413045012102143. The reversal of 413045012102125 is 521201210540314.

It can be written as a sum of positive squares in 8 ways, for example, as 331476423772036 + 81568588330089 = 18206494^2 + 9031533^2 .

It is not a de Polignac number, because 413045012102125 - 2¹³ = 413045012093933 is a prime.

It is a super-2 number, since 2×413045012102125² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127090771330 + ... + 127090774579.

It is an arithmetic number, because the mean of its divisors is an integer number (34695781016715).

Almost surely, 2^{413045012102125} is an apocalyptic number.

It is an amenable number.

413045012102125 is a deficient number, since it is larger than the sum of its proper divisors (142087484165315).

413045012102125 is a wasteful number, since it uses less digits than its factorization.

413045012102125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254181545937 (or 254181545927 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 413045012102125 its reverse (521201210540314), we get a palindrome (934246222642439).

The spelling of 413045012102125 in words is "four hundred thirteen trillion, forty-five billion, twelve million, one hundred two thousand, one hundred twenty-five".