12598006100689 has 9 divisors (see below), whose sum is σ = 12715034962203. Its totient is φ = 12482044731432.

The previous prime is 12598006100657. The next prime is 12598006100699. The reversal of 12598006100689 is 98600160089521.

The square root of 12598006100689 is 3549367.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8780749812289 + 3817256288400 = 2963233^2 + 1953780^2 .

It is not a de Polignac number, because 12598006100689 - 2⁵ = 12598006100657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12598006100609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 386864722 + ... + 386897284.

It is an arithmetic number, because the mean of its divisors is an integer number (1412781662467).

Almost surely, 2^{12598006100689} is an apocalyptic number.

12598006100689 is the 3549367-th square number.

12598006100689 is the 1774684-th centered octagonal number.

It is an amenable number.

12598006100689 is a deficient number, since it is larger than the sum of its proper divisors (117028861514).

12598006100689 is an frugal number, since it uses more digits than its factorization.

12598006100689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65344 (or 32672 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 55.

The spelling of 12598006100689 in words is "twelve trillion, five hundred ninety-eight billion, six million, one hundred thousand, six hundred eighty-nine".