513754730720 has 192 divisors, whose sum is σ = 1513833753600. Its totient is φ = 160068648960.

The previous prime is 513754730717. The next prime is 513754730729. The reversal of 513754730720 is 27037457315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513754730729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39035501 + ... + 39048659.

It is an arithmetic number, because the mean of its divisors is an integer number (7884550800).

Almost surely, 2^513754730720 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 513754730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756916876800).

513754730720 is an abundant number, since it is smaller than the sum of its proper divisors (1000079022880).

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

513754730720 is a wasteful number, since it uses less digits than its factorization.

513754730720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16361 (or 16353 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 44.

The spelling of 513754730720 in words is "five hundred thirteen billion, seven hundred fifty-four million, seven hundred thirty thousand, seven hundred twenty".