26248860225 has 81 divisors (see below), whose sum is σ = 54725949603. Its totient is φ = 11991702240.

The previous prime is 26248860199. The next prime is 26248860227. The reversal of 26248860225 is 52206884262.

The square root of 26248860225 is 162015.

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

It can be written as a sum of positive squares in only one way, i.e., 9449589681 + 16799270544 = 97209^2 + 129612^2 .

It is not a de Polignac number, because 26248860225 - 2⁷ = 26248860097 is a prime.

It is a super-2 number, since 2×26248860225² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26248860227) 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, 17010804 + ... + 17012346.

Almost surely, 2^26248860225 is an apocalyptic number.

26248860225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26248860225 is the 162015-th square number.

26248860225 is the 81008-th centered octagonal number.

It is an amenable number.

26248860225 is an abundant number, since it is smaller than the sum of its proper divisors (28477089378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26248860225 is an equidigital number, since it uses as much as digits as its factorization.

26248860225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 26248860225 in words is "twenty-six billion, two hundred forty-eight million, eight hundred sixty thousand, two hundred twenty-five".