2565164201769 has 91 divisors (see below), whose sum is σ = 4168389146923. Its totient is φ = 1578562585704.

The previous prime is 2565164201731. The next prime is 2565164201783. The reversal of 2565164201769 is 9671024615652.

The square root of 2565164201769 is 1601613.

The cubic root of 2565164201769 is 13689.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

2565164201769 is a `hidden beast` number, since 2 + 56 + 516 + 4 + 2 + 0 + 1 + 76 + 9 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2200816755225 + 364347446544 = 1483515^2 + 603612^2 .

It is not a de Polignac number, because 2565164201769 - 2¹⁹ = 2565163677481 is a prime.

It is a super-2 number, since 2×2565164201769² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2565164201069) by changing a digit.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 197320323207 + ... + 197320323219.

Almost surely, 2^{2565164201769} is an apocalyptic number.

2565164201769 is the 1601613-rd square number.

2565164201769 is the 800807-th centered octagonal number.

It is an amenable number.

2565164201769 is a deficient number, since it is larger than the sum of its proper divisors (1603224945154).

2565164201769 is an frugal number, since it uses more digits than its factorization.

2565164201769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2565164201769 in words is "two trillion, five hundred sixty-five billion, one hundred sixty-four million, two hundred one thousand, seven hundred sixty-nine".