513121133004240 has 320 divisors, whose sum is σ = 1699422501427200. Its totient is φ = 127790891827200.

The previous prime is 513121133004157. The next prime is 513121133004287. The reversal of 513121133004240 is 42400331121315.

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

It is a junction number, because it is equal to n+sod(n) for n = 513121133004198 and 513121133004207.

It is a congruent number.

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, 450153420 + ... + 451291860.

It is an arithmetic number, because the mean of its divisors is an integer number (5310695316960).

Almost surely, 2^{513121133004240} 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 513121133004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849711250713600).

513121133004240 is an abundant number, since it is smaller than the sum of its proper divisors (1186301368422960).

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

513121133004240 is a wasteful number, since it uses less digits than its factorization.

513121133004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140606 (or 1140600 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 513121133004240 its reverse (42400331121315), we get a palindrome (555521464125555).

The spelling of 513121133004240 in words is "five hundred thirteen trillion, one hundred twenty-one billion, one hundred thirty-three million, four thousand, two hundred forty".