513324241920 has 1584 divisors, whose sum is σ = 2204617034880. Its totient is φ = 112225222656.

The previous prime is 513324241909. The next prime is 513324241961. The reversal of 513324241920 is 29142423315.

513324241920 is a `hidden beast` number, since 5 + 1 + 3 + 324 + 241 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8700410851 + ... + 8700410909.

Almost surely, 2^513324241920 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 513324241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102308517440).

513324241920 is an abundant number, since it is smaller than the sum of its proper divisors (1691292792960).

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

513324241920 is an frugal number, since it uses more digits than its factorization.

513324241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 513324241920 in words is "five hundred thirteen billion, three hundred twenty-four million, two hundred forty-one thousand, nine hundred twenty".