642571001567 has 16 divisors (see below), whose sum is σ = 704394524160. Its totient is φ = 581316153600.

The previous prime is 642571001563. The next prime is 642571001593. The reversal of 642571001567 is 765100175246.

It is a cyclic number.

It is not a de Polignac number, because 642571001567 - 2² = 642571001563 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642571001563) 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, 32853263 + ... + 32872815.

It is an arithmetic number, because the mean of its divisors is an integer number (44024657760).

Almost surely, 2^642571001567 is an apocalyptic number.

642571001567 is a deficient number, since it is larger than the sum of its proper divisors (61823522593).

642571001567 is a wasteful number, since it uses less digits than its factorization.

642571001567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33934.

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 642571001567 in words is "six hundred forty-two billion, five hundred seventy-one million, one thousand, five hundred sixty-seven".