513034466417000 has 128 divisors (see below), whose sum is σ = 1309770754980480. Its totient is φ = 186538944960000.

The previous prime is 513034466416933. The next prime is 513034466417063. The reversal of 513034466417000 is 714664430315.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105611555 + ... + 110362445.

It is an arithmetic number, because the mean of its divisors is an integer number (10232584023285).

Almost surely, 2^{513034466417000} is an apocalyptic number.

513034466417000 is a gapful number since it is divisible by the number (50) 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 513034466417000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654885377490240).

513034466417000 is an abundant number, since it is smaller than the sum of its proper divisors (796736288563480).

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

513034466417000 is a wasteful number, since it uses less digits than its factorization.

513034466417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760740 (or 4760726 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 513034466417000 in words is "five hundred thirteen trillion, thirty-four billion, four hundred sixty-six million, four hundred seventeen thousand".