311052401 has 18 divisors (see below), whose sum is σ = 360893106. Its totient is φ = 267854400.

The previous prime is 311052397. The next prime is 311052403. The reversal of 311052401 is 104250113.

It can be written as a sum of positive squares in only one way, i.e., 178917376 + 132135025 = 13376^2 + 11495^2 .

It is not a de Polignac number, because 311052401 - 2² = 311052397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311052401.

It is not an unprimeable number, because it can be changed into a prime (311052403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40121 + ... + 47241.

It is an arithmetic number, because the mean of its divisors is an integer number (20049617).

Almost surely, 2^311052401 is an apocalyptic number.

It is an amenable number.

311052401 is a deficient number, since it is larger than the sum of its proper divisors (49840705).

311052401 is a wasteful number, since it uses less digits than its factorization.

311052401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7181 (or 7151 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 311052401 is about 17636.6777200243. The cubic root of 311052401 is about 677.5549451406.

The spelling of 311052401 in words is "three hundred eleven million, fifty-two thousand, four hundred one".