1026608689089 has 27 divisors (see below), whose sum is σ = 1575317769987. Its totient is φ = 644114205504.

The previous prime is 1026608689069. The next prime is 1026608689163. The reversal of 1026608689089 is 9809868066201.

The square root of 1026608689089 is 1013217.

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

1026608689089 is a `hidden beast` number, since 10 + 2 + 6 + 608 + 6 + 8 + 9 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 799262820225 + 227345868864 = 894015^2 + 476808^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1026608689089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1026608689069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51664134 + ... + 51684000.

Almost surely, 2^{1026608689089} is an apocalyptic number.

1026608689089 is the 1013217-th square number.

1026608689089 is the 506609-th centered octagonal number.

It is an amenable number.

1026608689089 is a deficient number, since it is larger than the sum of its proper divisors (548709080898).

1026608689089 is an frugal number, since it uses more digits than its factorization.

1026608689089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39774 (or 19887 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 1026608689089 in words is "one trillion, twenty-six billion, six hundred eight million, six hundred eighty-nine thousand, eighty-nine".