516536106306 has 64 divisors (see below), whose sum is σ = 1152325633536. Its totient is φ = 153045849600.

The previous prime is 516536106301. The next prime is 516536106311. The reversal of 516536106306 is 603601635615.

It is an interprime number because it is at equal distance from previous prime (516536106301) and next prime (516536106311).

It is not an unprimeable number, because it can be changed into a prime (516536106301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45321 + ... + 1017411.

It is an arithmetic number, because the mean of its divisors is an integer number (18005088024).

Almost surely, 2^516536106306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516536106306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576162816768).

516536106306 is an abundant number, since it is smaller than the sum of its proper divisors (635789527230).

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

516536106306 is a wasteful number, since it uses less digits than its factorization.

516536106306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972287.

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 516536106306 in words is "five hundred sixteen billion, five hundred thirty-six million, one hundred six thousand, three hundred six".