513152142024144 has 80 divisors (see below), whose sum is σ = 1543605904363392. Its totient is φ = 143848578891264.

The previous prime is 513152142024023. The next prime is 513152142024163. The reversal of 513152142024144 is 441420241251315.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14407892739 + ... + 14407928354.

Almost surely, 2^{513152142024144} is an apocalyptic number.

It is an amenable number.

513152142024144 is an abundant number, since it is smaller than the sum of its proper divisors (1030453762339248).

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

513152142024144 is a wasteful number, since it uses less digits than its factorization.

513152142024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28815821164 (or 28815821158 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 513152142024144 its reverse (441420241251315), we get a palindrome (954572383275459).

The spelling of 513152142024144 in words is "five hundred thirteen trillion, one hundred fifty-two billion, one hundred forty-two million, twenty-four thousand, one hundred forty-four".