248513100 has 72 divisors (see below), whose sum is σ = 784408128. Its totient is φ = 60244800.

The previous prime is 248513099. The next prime is 248513113. The reversal of 248513100 is 1315842.

It is a super-2 number, since 2×248513100² = 123517521743220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34354 + ... + 40953.

Almost surely, 2^248513100 is an apocalyptic number.

248513100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248513100 is an abundant number, since it is smaller than the sum of its proper divisors (535895028).

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

248513100 is a wasteful number, since it uses less digits than its factorization.

248513100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75335 (or 75328 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 248513100 is about 15764.2982717278. The cubic root of 248513100 is about 628.7091229731.

Adding to 248513100 its reverse (1315842), we get a palindrome (249828942).

The spelling of 248513100 in words is "two hundred forty-eight million, five hundred thirteen thousand, one hundred".