314051052 has 48 divisors (see below), whose sum is σ = 842349312. Its totient is φ = 89206080.

The previous prime is 314051051. The next prime is 314051071. The reversal of 314051052 is 250150413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (314051051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3727 + ... + 25337.

It is an arithmetic number, because the mean of its divisors is an integer number (17548944).

Almost surely, 2^314051052 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 314051052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421174656).

314051052 is an abundant number, since it is smaller than the sum of its proper divisors (528298260).

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

314051052 is a wasteful number, since it uses less digits than its factorization.

314051052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21798 (or 21796 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 314051052 is about 17721.4856036394. The cubic root of 314051052 is about 679.7252725284.

The spelling of 314051052 in words is "three hundred fourteen million, fifty-one thousand, fifty-two".