513404453101300 has 36 divisors (see below), whose sum is σ = 1114088781250060. Its totient is φ = 205361575153920.

The previous prime is 513404453101271. The next prime is 513404453101307. The reversal of 513404453101300 is 3101354404315.

It can be written as a sum of positive squares in 6 ways, for example, as 180514648709476 + 332889804391824 = 13435574^2 + 18245268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513404453101307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133144846 + ... + 136946554.

Almost surely, 2^{513404453101300} is an apocalyptic number.

513404453101300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513404453101300 is an abundant number, since it is smaller than the sum of its proper divisors (600684328148760).

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

513404453101300 is a wasteful number, since it uses less digits than its factorization.

513404453101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152180 (or 5152173 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 513404453101300 in words is "five hundred thirteen trillion, four hundred four billion, four hundred fifty-three million, one hundred one thousand, three hundred".