2165297535025 has 27 divisors (see below), whose sum is σ = 2704255460193. Its totient is φ = 1719883356000.

The previous prime is 2165297535017. The next prime is 2165297535053. The reversal of 2165297535025 is 5205357925612.

The square root of 2165297535025 is 1471495.

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

It can be written as a sum of positive squares in 4 ways, for example, as 74450942449 + 2090846592576 = 272857^2 + 1445976^2 .

It is not a de Polignac number, because 2165297535025 - 2³ = 2165297535017 is a prime.

It is a super-3 number, since 3×2165297535025³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1110977751 + ... + 1110979699.

Almost surely, 2^{2165297535025} is an apocalyptic number.

2165297535025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2165297535025 is the 1471495-th square number.

2165297535025 is the 735748-th centered octagonal number.

It is an amenable number.

2165297535025 is a deficient number, since it is larger than the sum of its proper divisors (538957925168).

2165297535025 is an frugal number, since it uses more digits than its factorization.

2165297535025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 52.

The spelling of 2165297535025 in words is "two trillion, one hundred sixty-five billion, two hundred ninety-seven million, five hundred thirty-five thousand, twenty-five".