516531206256 has 160 divisors (see below), whose sum is σ = 1483986352128. Its totient is φ = 153742095360.

The previous prime is 516531206117. The next prime is 516531206267. The reversal of 516531206256 is 652602135615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68802855 + ... + 68810361.

Almost surely, 2^516531206256 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 516531206256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741993176064).

516531206256 is an abundant number, since it is smaller than the sum of its proper divisors (967455145872).

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

516531206256 is a wasteful number, since it uses less digits than its factorization.

516531206256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11119 (or 11113 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 516531206256 in words is "five hundred sixteen billion, five hundred thirty-one million, two hundred six thousand, two hundred fifty-six".