411312561 has 16 divisors (see below), whose sum is σ = 599272128. Its totient is φ = 248864000.

The previous prime is 411312553. The next prime is 411312581. The reversal of 411312561 is 165213114.

It is a happy number.

It is not a de Polignac number, because 411312561 - 2³ = 411312553 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (411312511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10261 + ... + 30461.

It is an arithmetic number, because the mean of its divisors is an integer number (37454508).

Almost surely, 2^411312561 is an apocalyptic number.

It is an amenable number.

411312561 is a deficient number, since it is larger than the sum of its proper divisors (187959567).

411312561 is a wasteful number, since it uses less digits than its factorization.

411312561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20832.

The product of its digits is 720, while the sum is 24.

The square root of 411312561 is about 20280.8422162394. The cubic root of 411312561 is about 743.6878007820.

Adding to 411312561 its reverse (165213114), we get a palindrome (576525675).

The spelling of 411312561 in words is "four hundred eleven million, three hundred twelve thousand, five hundred sixty-one".