513684448020 has 288 divisors, whose sum is σ = 1709684995200. Its totient is φ = 124378924032.

The previous prime is 513684448009. The next prime is 513684448031. The reversal of 513684448020 is 20844486315.

513684448020 is a `hidden beast` number, since 51 + 3 + 68 + 44 + 480 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (513684448009) and next prime (513684448031).

It is a super-2 number, since 2×513684448020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8447886 + ... + 8508474.

Almost surely, 2^513684448020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513684448020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854842497600).

513684448020 is an abundant number, since it is smaller than the sum of its proper divisors (1196000547180).

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

513684448020 is a wasteful number, since it uses less digits than its factorization.

513684448020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60727 (or 60722 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 513684448020 in words is "five hundred thirteen billion, six hundred eighty-four million, four hundred forty-eight thousand, twenty".