248477325625 has 45 divisors (see below), whose sum is σ = 314967458619. Its totient is φ = 195960492000.

The previous prime is 248477325599. The next prime is 248477325683. The reversal of 248477325625 is 526523774842.

It is a happy number.

The square root of 248477325625 is 498475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 228389365801 + 20087959824 = 477901^2 + 141732^2 .

It is not a de Polignac number, because 248477325625 - 2⁷ = 248477325497 is a prime.

It is a Duffinian number.

Its product of digits (22579200) is a multiple of the sum of its prime factors (588).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1582658047 + ... + 1582658203.

Almost surely, 2^248477325625 is an apocalyptic number.

248477325625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

248477325625 is the 498475-th square number.

248477325625 is the 249238-th centered octagonal number.

It is an amenable number.

248477325625 is a deficient number, since it is larger than the sum of its proper divisors (66490132994).

248477325625 is an frugal number, since it uses more digits than its factorization.

248477325625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 289 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 55.

The spelling of 248477325625 in words is "two hundred forty-eight billion, four hundred seventy-seven million, three hundred twenty-five thousand, six hundred twenty-five".