513005089350 has 96 divisors (see below), whose sum is σ = 1373642393760. Its totient is φ = 125953367040.

The previous prime is 513005089349. The next prime is 513005089361. The reversal of 513005089350 is 53980500315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 513005089299 and 513005089308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420402 + ... + 1096698.

It is an arithmetic number, because the mean of its divisors is an integer number (14308774935).

Almost surely, 2^513005089350 is an apocalyptic number.

513005089350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513005089350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686821196880).

513005089350 is an abundant number, since it is smaller than the sum of its proper divisors (860637304410).

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

513005089350 is a wasteful number, since it uses less digits than its factorization.

513005089350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676714 (or 676709 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

Adding to 513005089350 its reverse (53980500315), we get a palindrome (566985589665).

The spelling of 513005089350 in words is "five hundred thirteen billion, five million, eighty-nine thousand, three hundred fifty".