413193447001 has 32 divisors (see below), whose sum is σ = 433218502656. Its totient is φ = 393646176000.

The previous prime is 413193446999. The next prime is 413193447031. The reversal of 413193447001 is 100744391314.

It is a cyclic number.

It is not a de Polignac number, because 413193447001 - 2¹ = 413193446999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413193447031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425533446 + ... + 425534416.

It is an arithmetic number, because the mean of its divisors is an integer number (13538078208).

Almost surely, 2^413193447001 is an apocalyptic number.

413193447001 is the 321401-st decagonal number.

It is an amenable number.

413193447001 is a deficient number, since it is larger than the sum of its proper divisors (20025055655).

413193447001 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (413193447000) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1813).

413193447001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 413193447001 in words is "four hundred thirteen billion, one hundred ninety-three million, four hundred forty-seven thousand, one".