513224522552340 has 72 divisors (see below), whose sum is σ = 1556801124042528. Its totient is φ = 136858108082880.

The previous prime is 513224522552317. The next prime is 513224522552351. The reversal of 513224522552340 is 43255225422315.

513224522552340 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 2 + 4 + 52 + 2 + 552 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4352226 + ... + 32332505.

It is an arithmetic number, because the mean of its divisors is an integer number (21622237833924).

Almost surely, 2^{513224522552340} is an apocalyptic number.

It is an amenable number.

513224522552340 is an abundant number, since it is smaller than the sum of its proper divisors (1043576601490188).

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

513224522552340 is a wasteful number, since it uses less digits than its factorization.

513224522552340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36762469 (or 36762464 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

Adding to 513224522552340 its reverse (43255225422315), we get a palindrome (556479747974655).

The spelling of 513224522552340 in words is "five hundred thirteen trillion, two hundred twenty-four billion, five hundred twenty-two million, five hundred fifty-two thousand, three hundred forty".