248478525 has 72 divisors (see below), whose sum is σ = 465851880. Its totient is φ = 126443520.

The previous prime is 248478521. The next prime is 248478533. The reversal of 248478525 is 525874842.

It can be written as a sum of positive squares in 12 ways, for example, as 168662169 + 79816356 = 12987^2 + 8934^2 .

It is not a de Polignac number, because 248478525 - 2² = 248478521 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248478521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 737157 + ... + 737493.

It is an arithmetic number, because the mean of its divisors is an integer number (6470165).

Almost surely, 2^248478525 is an apocalyptic number.

248478525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248478525 is a deficient number, since it is larger than the sum of its proper divisors (217373355).

248478525 is a wasteful number, since it uses less digits than its factorization.

248478525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 487 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 248478525 is about 15763.2016100791. The cubic root of 248478525 is about 628.6799647166.

The spelling of 248478525 in words is "two hundred forty-eight million, four hundred seventy-eight thousand, five hundred twenty-five".