513744209472 has 448 divisors, whose sum is σ = 1621757894400. Its totient is φ = 142002094080.

The previous prime is 513744209471. The next prime is 513744209479. The reversal of 513744209472 is 274902447315.

It is a super-2 number, since 2×513744209472² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (513744209471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109514647 + ... + 109519337.

It is an arithmetic number, because the mean of its divisors is an integer number (3619995300).

Almost surely, 2^513744209472 is an apocalyptic number.

513744209472 is a gapful number since it is divisible by the number (52) 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 513744209472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810878947200).

513744209472 is an abundant number, since it is smaller than the sum of its proper divisors (1108013684928).

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

513744209472 is a wasteful number, since it uses less digits than its factorization.

513744209472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 513744209472 in words is "five hundred thirteen billion, seven hundred forty-four million, two hundred nine thousand, four hundred seventy-two".