409083152661 has 24 divisors (see below), whose sum is σ = 630992194560. Its totient is φ = 254823760800.

The previous prime is 409083152587. The next prime is 409083152707. The reversal of 409083152661 is 166251380904.

409083152661 is a `hidden beast` number, since 4 + 0 + 90 + 8 + 31 + 526 + 6 + 1 = 666.

It is not a de Polignac number, because 409083152661 - 2¹¹ = 409083150613 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409083152861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25272045 + ... + 25288226.

It is an arithmetic number, because the mean of its divisors is an integer number (26291341440).

Almost surely, 2^409083152661 is an apocalyptic number.

It is an amenable number.

409083152661 is a deficient number, since it is larger than the sum of its proper divisors (221909041899).

409083152661 is a wasteful number, since it uses less digits than its factorization.

409083152661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50560337 (or 50560334 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 409083152661 in words is "four hundred nine billion, eighty-three million, one hundred fifty-two thousand, six hundred sixty-one".