252303311349 has 16 divisors (see below), whose sum is σ = 380117985600. Its totient is φ = 165351321648.

The previous prime is 252303311297. The next prime is 252303311353. The reversal of 252303311349 is 943113303252.

252303311349 is a `hidden beast` number, since 2 + 5 + 2 + 303 + 3 + 1 + 1 + 349 = 666.

It is not a de Polignac number, because 252303311349 - 2¹¹ = 252303309301 is a prime.

It is a super-3 number, since 3×252303311349³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252303311389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79189654 + ... + 79192839.

It is an arithmetic number, because the mean of its divisors is an integer number (23757374100).

Almost surely, 2^252303311349 is an apocalyptic number.

It is an amenable number.

252303311349 is a deficient number, since it is larger than the sum of its proper divisors (127814674251).

252303311349 is a wasteful number, since it uses less digits than its factorization.

252303311349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158382561 (or 158382555 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 252303311349 in words is "two hundred fifty-two billion, three hundred three million, three hundred eleven thousand, three hundred forty-nine".