253253352352 has 576 divisors, whose sum is σ = 716301750528. Its totient is φ = 85809715200.

The previous prime is 253253352277. The next prime is 253253352377.

253253352352 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1399189702 + ... + 1399189882.

It is an arithmetic number, because the mean of its divisors is an integer number (1243579428).

Almost surely, 2^253253352352 is an apocalyptic number.

253253352352 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 253253352352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358150875264).

253253352352 is an abundant number, since it is smaller than the sum of its proper divisors (463048398176).

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

253253352352 is a wasteful number, since it uses less digits than its factorization.

253253352352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 233 counting only the distinct ones).

The product of its digits is 810000, while the sum is 40.

The spelling of 253253352352 in words is "two hundred fifty-three billion, two hundred fifty-three million, three hundred fifty-two thousand, three hundred fifty-two".