248525312 has 80 divisors (see below), whose sum is σ = 601032960. Its totient is φ = 100220928.

The previous prime is 248525309. The next prime is 248525317. The reversal of 248525312 is 213525842.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (248525317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58889 + ... + 62967.

It is an arithmetic number, because the mean of its divisors is an integer number (7512912).

Almost surely, 2^248525312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

248525312 is an abundant number, since it is smaller than the sum of its proper divisors (352507648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248525312 is an equidigital number, since it uses as much as digits as its factorization.

248525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4105 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 248525312 is about 15764.6855978798. The cubic root of 248525312 is about 628.7194211157.

The spelling of 248525312 in words is "two hundred forty-eight million, five hundred twenty-five thousand, three hundred twelve".