253255565552352 has 1152 divisors, whose sum is σ = 788991822581760. Its totient is φ = 70934814720000.

The previous prime is 253255565552347. The next prime is 253255565552359.

253255565552352 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253255565552359) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265745608708 + ... + 265745609660.

It is an arithmetic number, because the mean of its divisors is an integer number (684888734880).

Almost surely, 2^{253255565552352} is an apocalyptic number.

253255565552352 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 253255565552352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394495911290880).

253255565552352 is an abundant number, since it is smaller than the sum of its proper divisors (535736257029408).

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

253255565552352 is a wasteful number, since it uses less digits than its factorization.

253255565552352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1381 counting only the distinct ones).

The product of its digits is 337500000, while the sum is 60.

The spelling of 253255565552352 in words is "two hundred fifty-three trillion, two hundred fifty-five billion, five hundred sixty-five million, five hundred fifty-two thousand, three hundred fifty-two".