513224240545332 has 72 divisors (see below), whose sum is σ = 1299032315380800. Its totient is φ = 170848538800128.

The previous prime is 513224240545327. The next prime is 513224240545361. The reversal of 513224240545332 is 233545042422315.

It is a happy number.

513224240545332 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 24 + 2 + 40 + 54 + 533 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1450104769 + ... + 1450458647.

It is an arithmetic number, because the mean of its divisors is an integer number (18042115491400).

Almost surely, 2^{513224240545332} is an apocalyptic number.

It is an amenable number.

513224240545332 is an abundant number, since it is smaller than the sum of its proper divisors (785808074835468).

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

513224240545332 is a wasteful number, since it uses less digits than its factorization.

513224240545332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407045 (or 407040 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 513224240545332 its reverse (233545042422315), we get a palindrome (746769282967647).

The spelling of 513224240545332 in words is "five hundred thirteen trillion, two hundred twenty-four billion, two hundred forty million, five hundred forty-five thousand, three hundred thirty-two".