514903120 has 40 divisors (see below), whose sum is σ = 1238436360. Its totient is φ = 198858240.

The previous prime is 514903111. The next prime is 514903127. The reversal of 514903120 is 21309415.

It can be written as a sum of positive squares in 4 ways, for example, as 216442944 + 298460176 = 14712^2 + 17276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514903127) 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 7 ways as a sum of consecutive naturals, for example, 108651 + ... + 113290.

It is an arithmetic number, because the mean of its divisors is an integer number (30960909).

Almost surely, 2^514903120 is an apocalyptic number.

It is an amenable number.

514903120 is an abundant number, since it is smaller than the sum of its proper divisors (723533240).

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

514903120 is a wasteful number, since it uses less digits than its factorization.

514903120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221983 (or 221977 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 514903120 is about 22691.4768139934. The cubic root of 514903120 is about 801.5091927977.

The spelling of 514903120 in words is "five hundred fourteen million, nine hundred three thousand, one hundred twenty".