2557258334449 has 27 divisors (see below), whose sum is σ = 3221383856193. Its totient is φ = 2023210137312.

The previous prime is 2557258334387. The next prime is 2557258334489. The reversal of 2557258334449 is 9444338527552.

The square root of 2557258334449 is 1599143.

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 88086084849 + 2469172249600 = 296793^2 + 1571360^2 .

It is not a de Polignac number, because 2557258334449 - 2⁹ = 2557258333937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2557258334489) 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, 145513227 + ... + 145530799.

Almost surely, 2^{2557258334449} is an apocalyptic number.

2557258334449 is the 1599143-rd square number.

2557258334449 is the 799572-nd centered octagonal number.

It is an amenable number.

2557258334449 is a deficient number, since it is larger than the sum of its proper divisors (664125521744).

2557258334449 is an frugal number, since it uses more digits than its factorization.

2557258334449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35186 (or 17593 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 61.

The spelling of 2557258334449 in words is "two trillion, five hundred fifty-seven billion, two hundred fifty-eight million, three hundred thirty-four thousand, four hundred forty-nine".