409513351067901 has 32 divisors (see below), whose sum is σ = 651173526328320. Its totient is φ = 253429696691712.

The previous prime is 409513351067857. The next prime is 409513351067921. The reversal of 409513351067901 is 109760153315904.

409513351067901 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 1 + 33 + 510 + 6 + 7 + 90 + 1 = 666.

It is not a de Polignac number, because 409513351067901 - 2⁷ = 409513351067773 is a prime.

It is a super-2 number, since 2×409513351067901² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409513351067921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6110829165 + ... + 6110896178.

It is an arithmetic number, because the mean of its divisors is an integer number (20349172697760).

Almost surely, 2^{409513351067901} is an apocalyptic number.

It is an amenable number.

409513351067901 is a deficient number, since it is larger than the sum of its proper divisors (241660175260419).

409513351067901 is a wasteful number, since it uses less digits than its factorization.

409513351067901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12221725442 (or 12221725436 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 409513351067901 in words is "four hundred nine trillion, five hundred thirteen billion, three hundred fifty-one million, sixty-seven thousand, nine hundred one".