2558437561 has 3 divisors (see below), whose sum is σ = 2558488143. Its totient is φ = 2558386980.

The previous prime is 2558437543. The next prime is 2558437573. The reversal of 2558437561 is 1657348552.

The square root of 2558437561 is 50581.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1753013161 + 805424400 = 41869^2 + 28380^2 .

It is not a de Polignac number, because 2558437561 - 2¹³ = 2558429369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2558437961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25291 + ... + 75871.

It is an arithmetic number, because the mean of its divisors is an integer number (852829381).

Almost surely, 2^2558437561 is an apocalyptic number.

2558437561 is the 50581-st square number.

2558437561 is the 25291-st centered octagonal number.

It is an amenable number.

2558437561 is a deficient number, since it is larger than the sum of its proper divisors (50582).

2558437561 is an frugal number, since it uses more digits than its factorization.

2558437561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101162 (or 50581 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 46.

The cubic root of 2558437561 is about 1367.7023951709.

The spelling of 2558437561 in words is "two billion, five hundred fifty-eight million, four hundred thirty-seven thousand, five hundred sixty-one".