513000471358300 has 72 divisors (see below), whose sum is σ = 1114359036769440. Its totient is φ = 204988658092800.

The previous prime is 513000471358267. The next prime is 513000471358339. The reversal of 513000471358300 is 3853174000315.

It is a happy number.

It is a super-2 number, since 2×513000471358300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484467430 + ... + 485525170.

It is an arithmetic number, because the mean of its divisors is an integer number (15477208844020).

Almost surely, 2^{513000471358300} is an apocalyptic number.

513000471358300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513000471358300 is an abundant number, since it is smaller than the sum of its proper divisors (601358565411140).

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

513000471358300 is a wasteful number, since it uses less digits than its factorization.

513000471358300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062751 (or 1062744 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 513000471358300 in words is "five hundred thirteen trillion, four hundred seventy-one million, three hundred fifty-eight thousand, three hundred".