2588876161 has 27 divisors (see below), whose sum is σ = 2857976283. Its totient is φ = 2344596480.

The previous prime is 2588876089. The next prime is 2588876167. The reversal of 2588876161 is 1616788852.

The square root of 2588876161 is 50881.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1800389761 + 788486400 = 42431^2 + 28080^2 .

It is not a de Polignac number, because 2588876161 - 2⁷ = 2588876033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2588876099 and 2588876108.

It is not an unprimeable number, because it can be changed into a prime (2588876167) 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, 35464021 + ... + 35464093.

Almost surely, 2^2588876161 is an apocalyptic number.

2588876161 is the 50881-st square number.

2588876161 is the 25441-st centered octagonal number.

It is an amenable number.

2588876161 is a deficient number, since it is larger than the sum of its proper divisors (269100122).

2588876161 is an frugal number, since it uses more digits than its factorization.

2588876161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 52.

The cubic root of 2588876161 is about 1373.1050323451.

The spelling of 2588876161 in words is "two billion, five hundred eighty-eight million, eight hundred seventy-six thousand, one hundred sixty-one".