513727665000 has 640 divisors, whose sum is σ = 1822402644480. Its totient is φ = 119548800000.

The previous prime is 513727664917. The next prime is 513727665013. The reversal of 513727665000 is 566727315.

513727665000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×513727665000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 432794407 + ... + 432795593.

It is an arithmetic number, because the mean of its divisors is an integer number (2847504132).

Almost surely, 2^513727665000 is an apocalyptic number.

513727665000 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 513727665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911201322240).

513727665000 is an abundant number, since it is smaller than the sum of its proper divisors (1308674979480).

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

513727665000 is a wasteful number, since it uses less digits than its factorization.

513727665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 513727665000 in words is "five hundred thirteen billion, seven hundred twenty-seven million, six hundred sixty-five thousand".