2585630465167 has 8 divisors (see below), whose sum is σ = 2649231763920. Its totient is φ = 2522054744640.

The previous prime is 2585630465141. The next prime is 2585630465179. The reversal of 2585630465167 is 7615640365852.

It is a happy number.

2585630465167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2585630465167 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 (2585630462167) 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, 6189817 + ... + 6594322.

It is an arithmetic number, because the mean of its divisors is an integer number (331153970490).

Almost surely, 2^{2585630465167} is an apocalyptic number.

2585630465167 is a deficient number, since it is larger than the sum of its proper divisors (63601298753).

2585630465167 is a wasteful number, since it uses less digits than its factorization.

2585630465167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12789113.

The product of its (nonzero) digits is 36288000, while the sum is 58.

The spelling of 2585630465167 in words is "two trillion, five hundred eighty-five billion, six hundred thirty million, four hundred sixty-five thousand, one hundred sixty-seven".