2589054336225 has 36 divisors (see below), whose sum is σ = 5299753133376. Its totient is φ = 1183567695840.

The previous prime is 2589054336149. The next prime is 2589054336241. The reversal of 2589054336225 is 5226334509852.

It is a happy number.

2589054336225 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 0 + 5 + 4 + 3 + 3 + 622 + 5 = 666.

It is not a de Polignac number, because 2589054336225 - 2¹¹ = 2589054334177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 821920437 + ... + 821923586.

It is an arithmetic number, because the mean of its divisors is an integer number (147215364816).

Almost surely, 2^{2589054336225} is an apocalyptic number.

2589054336225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2589054336225 is an abundant number, since it is smaller than the sum of its proper divisors (2710698797151).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2589054336225 is a wasteful number, since it uses less digits than its factorization.

2589054336225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643844046 (or 1643844038 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 2589054336225 in words is "two trillion, five hundred eighty-nine billion, fifty-four million, three hundred thirty-six thousand, two hundred twenty-five".