2165071617025 has 24 divisors (see below), whose sum is σ = 2694367408824. Its totient is φ = 1725815308800.

The previous prime is 2165071617019. The next prime is 2165071617047. The reversal of 2165071617025 is 5207161705612.

It can be written as a sum of positive squares in 12 ways, for example, as 45403512561 + 2119668104464 = 213081^2 + 1455908^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2165071617025 is a prime.

It is a Duffinian number.

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, 42613437 + ... + 42664213.

It is an arithmetic number, because the mean of its divisors is an integer number (112265308701).

Almost surely, 2^{2165071617025} is an apocalyptic number.

2165071617025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2165071617025 is a deficient number, since it is larger than the sum of its proper divisors (529295791799).

2165071617025 is a wasteful number, since it uses less digits than its factorization.

2165071617025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56901 (or 56896 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 2165071617025 in words is "two trillion, one hundred sixty-five billion, seventy-one million, six hundred seventeen thousand, twenty-five".