514863090 has 144 divisors (see below), whose sum is σ = 1566361368. Its totient is φ = 116992512.

The previous prime is 514863079. The next prime is 514863101. The reversal of 514863090 is 90368415.

514863090 is a `hidden beast` number, since 5 + 14 + 8 + 630 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (514863079) and next prime (514863101).

It can be written as a sum of positive squares in 4 ways, for example, as 252714609 + 262148481 = 15897^2 + 16191^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1380144 + ... + 1380516.

Almost surely, 2^514863090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514863090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783180684).

514863090 is an abundant number, since it is smaller than the sum of its proper divisors (1051498278).

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

514863090 is a wasteful number, since it uses less digits than its factorization.

514863090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 514863090 is about 22690.5947476041. The cubic root of 514863090 is about 801.4884217418.

The spelling of 514863090 in words is "five hundred fourteen million, eight hundred sixty-three thousand, ninety".