248986030225 has 27 divisors (see below), whose sum is σ = 322824307323. Its totient is φ = 190484529840.

The previous prime is 248986030177. The next prime is 248986030229. The reversal of 248986030225 is 522030689842.

The square root of 248986030225 is 498985.

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

248986030225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 89634970881 + 159351059344 = 299391^2 + 399188^2 .

It is not a de Polignac number, because 248986030225 - 2¹⁷ = 248985899153 is a prime.

It is a super-2 number, since 2×248986030225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248986030229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57381106 + ... + 57385444.

Almost surely, 2^248986030225 is an apocalyptic number.

248986030225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

248986030225 is the 498985-th square number.

248986030225 is the 249493-rd centered octagonal number.

It is an amenable number.

248986030225 is a deficient number, since it is larger than the sum of its proper divisors (73838277098).

248986030225 is an frugal number, since it uses more digits than its factorization.

248986030225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 248986030225 by its sum of digits (49), we get a square (12200315481025 = 3492895²).

The spelling of 248986030225 in words is "two hundred forty-eight billion, nine hundred eighty-six million, thirty thousand, two hundred twenty-five".