513343040160 has 96 divisors (see below), whose sum is σ = 1618145665920. Its totient is φ = 136797078528.

The previous prime is 513343040159. The next prime is 513343040209. The reversal of 513343040160 is 61040343315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×513343040160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329421 + ... + 1065459.

It is an arithmetic number, because the mean of its divisors is an integer number (16855684020).

Almost surely, 2^513343040160 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 513343040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809072832960).

513343040160 is an abundant number, since it is smaller than the sum of its proper divisors (1104802625760).

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

513343040160 is a wasteful number, since it uses less digits than its factorization.

513343040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737510 (or 737502 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 513343040160 its reverse (61040343315), we get a palindrome (574383383475).

The spelling of 513343040160 in words is "five hundred thirteen billion, three hundred forty-three million, forty thousand, one hundred sixty".