25226078818249 has 27 divisors (see below), whose sum is σ = 25878025061343. Its totient is φ = 24590439072000.

The previous prime is 25226078818247. The next prime is 25226078818319. The reversal of 25226078818249 is 94281887062252.

The square root of 25226078818249 is 5022557.

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

It can be written as a sum of positive squares in 13 ways, for example, as 16137855668025 + 9088223150224 = 4017195^2 + 3014668^2 .

It is not a de Polignac number, because 25226078818249 - 2¹ = 25226078818247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25226078818243) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41973508549 + ... + 41973509149.

Almost surely, 2^{25226078818249} is an apocalyptic number.

25226078818249 is the 5022557-th square number.

25226078818249 is the 2511279-th centered octagonal number.

It is an amenable number.

25226078818249 is a deficient number, since it is larger than the sum of its proper divisors (651946243094).

25226078818249 is an frugal number, since it uses more digits than its factorization.

25226078818249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 64.

The spelling of 25226078818249 in words is "twenty-five trillion, two hundred twenty-six billion, seventy-eight million, eight hundred eighteen thousand, two hundred forty-nine".