516340506 has 64 divisors (see below), whose sum is σ = 1158312960. Its totient is φ = 152117760.

The previous prime is 516340481. The next prime is 516340529. The reversal of 516340506 is 605043615.

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, 377035 + ... + 378401.

It is an arithmetic number, because the mean of its divisors is an integer number (18098640).

Almost surely, 2^516340506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516340506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

516340506 is an abundant number, since it is smaller than the sum of its proper divisors (641972454).

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

516340506 is a wasteful number, since it uses less digits than its factorization.

516340506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 516340506 is about 22723.1271175426. The cubic root of 516340506 is about 802.2543217831.

The spelling of 516340506 in words is "five hundred sixteen million, three hundred forty thousand, five hundred six".