514512532584704 has 72 divisors (see below), whose sum is σ = 1051151012012640. Its totient is φ = 251213383507968.

The previous prime is 514512532584697. The next prime is 514512532584769. The reversal of 514512532584704 is 407485235215415.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 514512532584704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40385507 + ... + 51575325.

Almost surely, 2^{514512532584704} 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 514512532584704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525575506006320).

514512532584704 is an abundant number, since it is smaller than the sum of its proper divisors (536638479427936).

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

514512532584704 is a wasteful number, since it uses less digits than its factorization.

514512532584704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11194055 (or 11194041 counting only the distinct ones).

The product of its (nonzero) digits is 26880000, while the sum is 56.

The spelling of 514512532584704 in words is "five hundred fourteen trillion, five hundred twelve billion, five hundred thirty-two million, five hundred eighty-four thousand, seven hundred four".