2653064365329 has 27 divisors (see below), whose sum is σ = 4457927530953. Its totient is φ = 1516017234312.

The previous prime is 2653064365243. The next prime is 2653064365361. The reversal of 2653064365329 is 9235634603562.

The square root of 2653064365329 is 1628823.

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

2653064365329 is a `hidden beast` number, since 2 + 6 + 5 + 306 + 4 + 3 + 6 + 5 + 329 = 666.

2653064365329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2653064365329 - 2¹⁹ = 2653063841041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2653064365429) 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, 34166502 + ... + 34244064.

Almost surely, 2^{2653064365329} is an apocalyptic number.

2653064365329 is the 1628823-rd square number.

2653064365329 is the 814412-nd centered octagonal number.

It is an amenable number.

2653064365329 is a deficient number, since it is larger than the sum of its proper divisors (1804863165624).

2653064365329 is an frugal number, since it uses more digits than its factorization.

2653064365329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155146 (or 77573 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 2653064365329 in words is "two trillion, six hundred fifty-three billion, sixty-four million, three hundred sixty-five thousand, three hundred twenty-nine".