253048792500 has 960 divisors, whose sum is σ = 1002639052800. Its totient is φ = 53887680000.

The previous prime is 253048792471. The next prime is 253048792511. The reversal of 253048792500 is 5297840352.

253048792500 is a `hidden beast` number, since 2 + 5 + 30 + 48 + 79 + 2 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 637402302 + ... + 637402698.

It is an arithmetic number, because the mean of its divisors is an integer number (1044415680).

Almost surely, 2^253048792500 is an apocalyptic number.

253048792500 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 253048792500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501319526400).

253048792500 is an abundant number, since it is smaller than the sum of its proper divisors (749590260300).

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

253048792500 is a wasteful number, since it uses less digits than its factorization.

253048792500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 253048792500 in words is "two hundred fifty-three billion, forty-eight million, seven hundred ninety-two thousand, five hundred".