506052534306 has 64 divisors (see below), whose sum is σ = 1127851278336. Its totient is φ = 150053913600.

The previous prime is 506052534301. The next prime is 506052534311. The reversal of 506052534306 is 603435250605.

It is an interprime number because it is at equal distance from previous prime (506052534301) and next prime (506052534311).

It is not an unprimeable number, because it can be changed into a prime (506052534301) by changing a digit.

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, 16862991 + ... + 16892973.

It is an arithmetic number, because the mean of its divisors is an integer number (17622676224).

Almost surely, 2^506052534306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506052534306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563925639168).

506052534306 is an abundant number, since it is smaller than the sum of its proper divisors (621798744030).

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

506052534306 is a wasteful number, since it uses less digits than its factorization.

506052534306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35487.

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 506052534306 in words is "five hundred six billion, fifty-two million, five hundred thirty-four thousand, three hundred six".