413125220511 has 32 divisors (see below), whose sum is σ = 633995136000. Its totient is φ = 265561408224.

The previous prime is 413125220419. The next prime is 413125220549. The reversal of 413125220511 is 115022521314.

It is a happy number.

413125220511 is a `hidden beast` number, since 4 + 1 + 3 + 125 + 2 + 20 + 511 = 666.

It is not a de Polignac number, because 413125220511 - 2⁷ = 413125220383 is a prime.

It is a super-2 number, since 2×413125220511² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413125220561) 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 31 ways as a sum of consecutive naturals, for example, 226710 + ... + 936828.

It is an arithmetic number, because the mean of its divisors is an integer number (19812348000).

Almost surely, 2^413125220511 is an apocalyptic number.

413125220511 is a deficient number, since it is larger than the sum of its proper divisors (220869915489).

413125220511 is a wasteful number, since it uses less digits than its factorization.

413125220511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710900 (or 710894 counting only the distinct ones).

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

Adding to 413125220511 its reverse (115022521314), we get a palindrome (528147741825).

The spelling of 413125220511 in words is "four hundred thirteen billion, one hundred twenty-five million, two hundred twenty thousand, five hundred eleven".