513228356082 has 162 divisors, whose sum is σ = 1247184562221. Its totient is φ = 152457608160.

The previous prime is 513228355979. The next prime is 513228356089. The reversal of 513228356082 is 280653822315.

513228356082 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 2 + 8 + 3 + 560 + 82 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 438825428721 + 74402927361 = 662439^2 + 272769^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=506571.

It is not an unprimeable number, because it can be changed into a prime (513228356089) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1224888469 + ... + 1224888887.

Almost surely, 2^513228356082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513228356082

513228356082 is an abundant number, since it is smaller than the sum of its proper divisors (733956206139).

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

513228356082 is a wasteful number, since it uses less digits than its factorization.

513228356082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 513228356082 in words is "five hundred thirteen billion, two hundred twenty-eight million, three hundred fifty-six thousand, eighty-two".