2590013318289 has 16 divisors (see below), whose sum is σ = 3567254790144. Its totient is φ = 1669801986000.

The previous prime is 2590013318239. The next prime is 2590013318317. The reversal of 2590013318289 is 9828133100952.

It is not a de Polignac number, because 2590013318289 - 2¹³ = 2590013310097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2590013318239) 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, 9653187 + ... + 9917864.

It is an arithmetic number, because the mean of its divisors is an integer number (222953424384).

Almost surely, 2^{2590013318289} is an apocalyptic number.

It is an amenable number.

2590013318289 is a deficient number, since it is larger than the sum of its proper divisors (977241471855).

2590013318289 is a wasteful number, since it uses less digits than its factorization.

2590013318289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19572508.

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 2590013318289 in words is "two trillion, five hundred ninety billion, thirteen million, three hundred eighteen thousand, two hundred eighty-nine".