248515262100 has 432 divisors, whose sum is σ = 912853573632. Its totient is φ = 55366053120.

The previous prime is 248515262087. The next prime is 248515262111. The reversal of 248515262100 is 1262515842.

248515262100 is a `hidden beast` number, since 2 + 485 + 15 + 2 + 62 + 100 = 666.

248515262100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 233786169 + ... + 233787231.

It is an arithmetic number, because the mean of its divisors is an integer number (2113086976).

Almost surely, 2^248515262100 is an apocalyptic number.

248515262100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248515262100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456426786816).

248515262100 is an abundant number, since it is smaller than the sum of its proper divisors (664338311532).

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

248515262100 is a wasteful number, since it uses less digits than its factorization.

248515262100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 248515262100 its reverse (1262515842), we get a palindrome (249777777942).

The spelling of 248515262100 in words is "two hundred forty-eight billion, five hundred fifteen million, two hundred sixty-two thousand, one hundred".