253333404333352 has 16 divisors (see below), whose sum is σ = 542857295000160. Its totient is φ = 108571458999984.

The previous prime is 253333404333323. The next prime is 253333404333367.

253333404333352 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×253333404333352³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2261905395778 + ... + 2261905395889.

It is an arithmetic number, because the mean of its divisors is an integer number (33928580937510).

Almost surely, 2^{253333404333352} is an apocalyptic number.

It is an amenable number.

253333404333352 is an abundant number, since it is smaller than the sum of its proper divisors (289523890666808).

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

253333404333352 is a wasteful number, since it uses less digits than its factorization.

253333404333352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523810791680 (or 4523810791676 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 46.

It can be divided in two parts, 25333340 and 4333352, that added together give a palindrome (29666692).

The spelling of 253333404333352 in words is "two hundred fifty-three trillion, three hundred thirty-three billion, four hundred four million, three hundred thirty-three thousand, three hundred fifty-two".