514263144 has 64 divisors (see below), whose sum is σ = 1319408640. Its totient is φ = 166944960.

The previous prime is 514263137. The next prime is 514263149. The reversal of 514263144 is 441362415.

It is not an unprimeable number, because it can be changed into a prime (514263149) 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, 564049 + ... + 564959.

It is an arithmetic number, because the mean of its divisors is an integer number (20615760).

Almost surely, 2^514263144 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 514263144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659704320).

514263144 is an abundant number, since it is smaller than the sum of its proper divisors (805145496).

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

514263144 is a wasteful number, since it uses less digits than its factorization.

514263144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1506 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 514263144 is about 22677.3707470685. The cubic root of 514263144 is about 801.1769883571.

It can be divided in two parts, 5142 and 63144, that added together give a palindrome (68286).

The spelling of 514263144 in words is "five hundred fourteen million, two hundred sixty-three thousand, one hundred forty-four".