513946350960 has 480 divisors, whose sum is σ = 1978954053120. Its totient is φ = 109750265856.

The previous prime is 513946350949. The next prime is 513946350961. The reversal of 513946350960 is 69053649315.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513946350961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11608546 + ... + 11652734.

It is an arithmetic number, because the mean of its divisors is an integer number (4122820944).

Almost surely, 2^513946350960 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 513946350960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989477026560).

513946350960 is an abundant number, since it is smaller than the sum of its proper divisors (1465007702160).

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

513946350960 is a wasteful number, since it uses less digits than its factorization.

513946350960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44285 (or 44272 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 51.

The spelling of 513946350960 in words is "five hundred thirteen billion, nine hundred forty-six million, three hundred fifty thousand, nine hundred sixty".