813407347401 has 32 divisors (see below), whose sum is σ = 1192719679488. Its totient is φ = 488983501440.

The previous prime is 813407347369. The next prime is 813407347427. The reversal of 813407347401 is 104743704318.

It is a happy number.

It is not a de Polignac number, because 813407347401 - 2⁵ = 813407347369 is a prime.

It is a super-2 number, since 2×813407347401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813407347451) 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, 21300541 + ... + 21338693.

It is an arithmetic number, because the mean of its divisors is an integer number (37272489984).

Almost surely, 2^813407347401 is an apocalyptic number.

It is an amenable number.

813407347401 is a deficient number, since it is larger than the sum of its proper divisors (379312332087).

813407347401 is a wasteful number, since it uses less digits than its factorization.

813407347401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43381.

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 813407347401 in words is "eight hundred thirteen billion, four hundred seven million, three hundred forty-seven thousand, four hundred one".