514138752 has 160 divisors (see below), whose sum is σ = 1620628020. Its totient is φ = 161243136.

The previous prime is 514138747. The next prime is 514138763. The reversal of 514138752 is 257831415.

514138752 is a `hidden beast` number, since 514 + 13 + 87 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 386358336 + 127780416 = 19656^2 + 11304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 174798 + ... + 177714.

Almost surely, 2^514138752 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 514138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810314010).

514138752 is an abundant number, since it is smaller than the sum of its proper divisors (1106489268).

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

514138752 is a wasteful number, since it uses less digits than its factorization.

514138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2939 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 514138752 is about 22674.6279352055. The cubic root of 514138752 is about 801.1123858635.

The spelling of 514138752 in words is "five hundred fourteen million, one hundred thirty-eight thousand, seven hundred fifty-two".