248686729225 has 27 divisors (see below), whose sum is σ = 338991233511. Its totient is φ = 180843128400.

The previous prime is 248686729223. The next prime is 248686729283. The reversal of 248686729225 is 522927686842.

The square root of 248686729225 is 498685.

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., 89527222521 + 159159506704 = 299211^2 + 398948^2 .

It is not a de Polignac number, because 248686729225 - 2¹ = 248686729223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248686729223) 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, 27423142 + ... + 27432208.

Almost surely, 2^248686729225 is an apocalyptic number.

248686729225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

248686729225 is the 498685-th square number.

248686729225 is the 249343-rd centered octagonal number.

It is an amenable number.

248686729225 is a deficient number, since it is larger than the sum of its proper divisors (90304504286).

248686729225 is an frugal number, since it uses more digits than its factorization.

248686729225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18166 (or 9083 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 61.

The spelling of 248686729225 in words is "two hundred forty-eight billion, six hundred eighty-six million, seven hundred twenty-nine thousand, two hundred twenty-five".