248756550025 has 27 divisors (see below), whose sum is σ = 322526807701. Its totient is φ = 190308947840.

The previous prime is 248756550023. The next prime is 248756550041. The reversal of 248756550025 is 520055657842.

The square root of 248756550025 is 498755.

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

It can be written as a sum of positive squares in 4 ways, for example, as 132947015161 + 115809534864 = 364619^2 + 340308^2 .

It is not a de Polignac number, because 248756550025 - 2¹ = 248756550023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248756550023) 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, 57354657 + ... + 57358993.

Almost surely, 2^248756550025 is an apocalyptic number.

248756550025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

248756550025 is the 498755-th square number.

248756550025 is the 249378-th centered octagonal number.

It is an amenable number.

248756550025 is a deficient number, since it is larger than the sum of its proper divisors (73770257676).

248756550025 is an frugal number, since it uses more digits than its factorization.

248756550025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 49.

Multiplying 248756550025 by its sum of digits (49), we get a square (12189070951225 = 3491285²).

The spelling of 248756550025 in words is "two hundred forty-eight billion, seven hundred fifty-six million, five hundred fifty thousand, twenty-five".