311052 has 54 divisors (see below), whose sum is σ = 882588. Its totient is φ = 85008.

The previous prime is 311041. The next prime is 311099. The reversal of 311052 is 250113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13513 + ... + 13535.

2³¹¹⁰⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441294).

311052 is an abundant number, since it is smaller than the sum of its proper divisors (571536).

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

311052 is a wasteful number, since it uses less digits than its factorization.

311052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 311052 is about 557.7203600372. The cubic root of 311052 is about 67.7554653979.

Multiplying 311052 by its sum of digits (12), we get a square (3732624 = 1932²).

311052 divided by its sum of digits (12) gives a square (25921 = 161²).

Adding to 311052 its reverse (250113), we get a palindrome (561165).

The spelling of 311052 in words is "three hundred eleven thousand, fifty-two".