2575874132209 has 27 divisors (see below), whose sum is σ = 3183289584843. Its totient is φ = 2077862031168.

The previous prime is 2575874132189. The next prime is 2575874132219. The reversal of 2575874132209 is 9022314785752.

It is a happy number.

The square root of 2575874132209 is 1604953.

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

It can be written as a sum of positive squares in only one way, i.e., 2005438338225 + 570435793984 = 1416135^2 + 755272^2 .

It is not a de Polignac number, because 2575874132209 - 2⁵ = 2575874132177 is a prime.

It is a super-3 number, since 3×2575874132209³ (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 a self number, because there is not a number n which added to its sum of digits gives 2575874132209.

It is not an unprimeable number, because it can be changed into a prime (2575874132219) by changing a digit.

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, 190982664 + ... + 190996150.

Almost surely, 2^{2575874132209} is an apocalyptic number.

2575874132209 is the 1604953-rd square number.

2575874132209 is the 802477-th centered octagonal number.

It is an amenable number.

2575874132209 is a deficient number, since it is larger than the sum of its proper divisors (607415452634).

2575874132209 is an frugal number, since it uses more digits than its factorization.

2575874132209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27022 (or 13511 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 2575874132209 in words is "two trillion, five hundred seventy-five billion, eight hundred seventy-four million, one hundred thirty-two thousand, two hundred nine".