2165071702025 has 24 divisors (see below), whose sum is σ = 2712562598424. Its totient is φ = 1714076928000.

The previous prime is 2165071701973. The next prime is 2165071702147. The reversal of 2165071702025 is 5202071705612.

It can be written as a sum of positive squares in 12 ways, for example, as 1554440419984 + 610631282041 = 1246772^2 + 781429^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2165071702025 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2165071702025.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48412175 + ... + 48456875.

It is an arithmetic number, because the mean of its divisors is an integer number (113023441601).

Almost surely, 2^{2165071702025} is an apocalyptic number.

2165071702025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2165071702025 is a deficient number, since it is larger than the sum of its proper divisors (547490896399).

2165071702025 is a wasteful number, since it uses less digits than its factorization.

2165071702025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64781 (or 64776 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 2165071702025 in words is "two trillion, one hundred sixty-five billion, seventy-one million, seven hundred two thousand, twenty-five".