513000524422540 has 192 divisors, whose sum is σ = 1422244578198528. Its totient is φ = 150479137382400.

The previous prime is 513000524422493. The next prime is 513000524422577. The reversal of 513000524422540 is 45224425000315.

It is a super-3 number, since 3×513000524422540³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513000524422540.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 345909439 + ... + 347389321.

It is an arithmetic number, because the mean of its divisors is an integer number (7407523844784).

Almost surely, 2^{513000524422540} 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 513000524422540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711122289099264).

513000524422540 is an abundant number, since it is smaller than the sum of its proper divisors (909244053775988).

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

513000524422540 is a wasteful number, since it uses less digits than its factorization.

513000524422540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493168 (or 1493166 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

Adding to 513000524422540 its reverse (45224425000315), we get a palindrome (558224949422855).

The spelling of 513000524422540 in words is "five hundred thirteen trillion, five hundred twenty-four million, four hundred twenty-two thousand, five hundred forty".