2126593225 has 27 divisors (see below), whose sum is σ = 2763503029. Its totient is φ = 1623248000.

The previous prime is 2126593193. The next prime is 2126593247. The reversal of 2126593225 is 5223956212.

It is a happy number.

The square root of 2126593225 is 46115.

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

It can be written as a sum of positive squares in 4 ways, for example, as 568870201 + 1557723024 = 23851^2 + 39468^2 .

It is not a de Polignac number, because 2126593225 - 2⁵ = 2126593193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 5303025 + ... + 5303425.

Almost surely, 2^2126593225 is an apocalyptic number.

2126593225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2126593225 is the 46115-th square number.

2126593225 is the 23058-th centered octagonal number.

It is an amenable number.

2126593225 is a deficient number, since it is larger than the sum of its proper divisors (636909804).

2126593225 is an frugal number, since it uses more digits than its factorization.

2126593225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The cubic root of 2126593225 is about 1285.9620193855.

The spelling of 2126593225 in words is "two billion, one hundred twenty-six million, five hundred ninety-three thousand, two hundred twenty-five".