2585010085167 has 8 divisors (see below), whose sum is σ = 3446782050096. Its totient is φ = 1723289088512.

The previous prime is 2585010085157. The next prime is 2585010085183. The reversal of 2585010085167 is 7615800105852.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2585010085167 - 2²⁶ = 2584942976303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585010085157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12623568 + ... + 12826709.

It is an arithmetic number, because the mean of its divisors is an integer number (430847756262).

Almost surely, 2^{2585010085167} is an apocalyptic number.

2585010085167 is a deficient number, since it is larger than the sum of its proper divisors (861771964929).

2585010085167 is a wasteful number, since it uses less digits than its factorization.

2585010085167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25484137.

The product of its (nonzero) digits is 672000, while the sum is 48.

The spelling of 2585010085167 in words is "two trillion, five hundred eighty-five billion, ten million, eighty-five thousand, one hundred sixty-seven".