248536512 has 196 divisors, whose sum is σ = 846191856. Its totient is φ = 70917120.

The previous prime is 248536501. The next prime is 248536523. The reversal of 248536512 is 215635842.

It is an interprime number because it is at equal distance from previous prime (248536501) and next prime (248536523).

It is a super-2 number, since 2×248536512² = 123540795594252288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326212 + ... + 326972.

Almost surely, 2^248536512 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 248536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423095928).

248536512 is an abundant number, since it is smaller than the sum of its proper divisors (597655344).

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

248536512 is an frugal number, since it uses more digits than its factorization.

248536512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 773 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 248536512 is about 15765.0408182155. The cubic root of 248536512 is about 628.7288655618.

The spelling of 248536512 in words is "two hundred forty-eight million, five hundred thirty-six thousand, five hundred twelve".