263615499225 has 81 divisors (see below), whose sum is σ = 511473135927. Its totient is φ = 129730648320.

The previous prime is 263615499197. The next prime is 263615499229. The reversal of 263615499225 is 522994516362.

The square root of 263615499225 is 513435.

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

263615499225 is a `hidden beast` number, since 2 + 6 + 3 + 6 + 1 + 549 + 92 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 260078580441 + 3536918784 = 509979^2 + 59472^2 .

It is not a de Polignac number, because 263615499225 - 2¹⁹ = 263614974937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (263615499229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 100118509 + ... + 100121141.

Almost surely, 2^263615499225 is an apocalyptic number.

263615499225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

263615499225 is the 513435-th square number.

263615499225 is the 256718-th centered octagonal number.

It is an amenable number.

263615499225 is a deficient number, since it is larger than the sum of its proper divisors (247857636702).

263615499225 is an equidigital number, since it uses as much as digits as its factorization.

263615499225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 2654 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 263615499225 in words is "two hundred sixty-three billion, six hundred fifteen million, four hundred ninety-nine thousand, two hundred twenty-five".