12589258518901 has 16 divisors (see below), whose sum is σ = 12834807559920. Its totient is φ = 12346307550720.

The previous prime is 12589258518803. The next prime is 12589258518961. The reversal of 12589258518901 is 10981585298521.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1276301170225 + 11312957348676 = 1129735^2 + 3363474^2 .

It is a cyclic number.

It is not a de Polignac number, because 12589258518901 - 2⁴³ = 3793165496693 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 (12589258518961) 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, 6974191 + ... + 8591731.

It is an arithmetic number, because the mean of its divisors is an integer number (802175472495).

Almost surely, 2^{12589258518901} is an apocalyptic number.

It is an amenable number.

12589258518901 is a deficient number, since it is larger than the sum of its proper divisors (245549041019).

12589258518901 is a wasteful number, since it uses less digits than its factorization.

12589258518901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618344.

The product of its (nonzero) digits is 20736000, while the sum is 64.

The spelling of 12589258518901 in words is "twelve trillion, five hundred eighty-nine billion, two hundred fifty-eight million, five hundred eighteen thousand, nine hundred one".