5255817598249 has 9 divisors (see below), whose sum is σ = 5401793068581. Its totient is φ = 5113685941920.

The previous prime is 5255817598243. The next prime is 5255817598259. The reversal of 5255817598249 is 9428957185525.

It is a happy number.

The square root of 5255817598249 is 2292557.

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 3148477616025 + 2107339982224 = 1774395^2 + 1451668^2 .

It is not a de Polignac number, because 5255817598249 - 2¹⁷ = 5255817467177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5255817598243) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 84793629 + ... + 84855589.

Almost surely, 2^{5255817598249} is an apocalyptic number.

5255817598249 is the 2292557-th square number.

5255817598249 is the 1146279-th centered octagonal number.

It is an amenable number.

5255817598249 is a deficient number, since it is larger than the sum of its proper divisors (145975470332).

5255817598249 is an frugal number, since it uses more digits than its factorization.

5255817598249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123996 (or 61998 counting only the distinct ones).

The product of its digits is 362880000, while the sum is 70.

The spelling of 5255817598249 in words is "five trillion, two hundred fifty-five billion, eight hundred seventeen million, five hundred ninety-eight thousand, two hundred forty-nine".