248513120 has 48 divisors (see below), whose sum is σ = 588319200. Its totient is φ = 99201024.

The previous prime is 248513119. The next prime is 248513129. The reversal of 248513120 is 21315842.

It is a self number, because there is not a number n which added to its sum of digits gives 248513120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248513129) 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, 94544 + ... + 97136.

It is an arithmetic number, because the mean of its divisors is an integer number (12256650).

Almost surely, 2^248513120 is an apocalyptic number.

248513120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248513120 is an abundant number, since it is smaller than the sum of its proper divisors (339806080).

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

248513120 is a wasteful number, since it uses less digits than its factorization.

248513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 248513120 is about 15764.2989060725. The cubic root of 248513120 is about 628.7091398390.

Adding to 248513120 its reverse (21315842), we get a palindrome (269828962).

The spelling of 248513120 in words is "two hundred forty-eight million, five hundred thirteen thousand, one hundred twenty".