513226329800 has 108 divisors (see below), whose sum is σ = 1204209771345. Its totient is φ = 203422301760.

The previous prime is 513226329797. The next prime is 513226329857. The reversal of 513226329800 is 8923622315.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 502961803204 + 10264526596 = 709198^2 + 101314^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=506570.

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 26 ways as a sum of consecutive naturals, for example, 1813520459 + ... + 1813520741.

Almost surely, 2^513226329800 is an apocalyptic number.

513226329800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513226329800

513226329800 is an abundant number, since it is smaller than the sum of its proper divisors (690983441545).

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

513226329800 is an equidigital number, since it uses as much as digits as its factorization.

513226329800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 513226329800 in words is "five hundred thirteen billion, two hundred twenty-six million, three hundred twenty-nine thousand, eight hundred".