513217632312 has 320 divisors, whose sum is σ = 1793476016640. Its totient is φ = 133207545600.

The previous prime is 513217632299. The next prime is 513217632341. The reversal of 513217632312 is 213236712315.

513217632312 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 1 + 7 + 632 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92853693 + ... + 92859219.

It is an arithmetic number, because the mean of its divisors is an integer number (5604612552).

Almost surely, 2^513217632312 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 513217632312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896738008320).

513217632312 is an abundant number, since it is smaller than the sum of its proper divisors (1280258384328).

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

513217632312 is a wasteful number, since it uses less digits than its factorization.

513217632312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7424 (or 7411 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The spelling of 513217632312 in words is "five hundred thirteen billion, two hundred seventeen million, six hundred thirty-two thousand, three hundred twelve".