253956593352 has 256 divisors, whose sum is σ = 798053990400. Its totient is φ = 65423232000.

The previous prime is 253956593347. The next prime is 253956593377. The reversal of 253956593352 is 253395659352.

253956593352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253956593292 and 253956593301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148598674 + ... + 148600382.

It is an arithmetic number, because the mean of its divisors is an integer number (3117398400).

Almost surely, 2^253956593352 is an apocalyptic number.

253956593352 is a gapful number since it is divisible by the number (22) 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 253956593352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399026995200).

253956593352 is an abundant number, since it is smaller than the sum of its proper divisors (544097397048).

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

253956593352 is a wasteful number, since it uses less digits than its factorization.

253956593352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2344 counting only the distinct ones).

The product of its digits is 32805000, while the sum is 57.

The spelling of 253956593352 in words is "two hundred fifty-three billion, nine hundred fifty-six million, five hundred ninety-three thousand, three hundred fifty-two".