564016321506 has 32 divisors (see below), whose sum is σ = 1230618754368. Its totient is φ = 170908802240.

The previous prime is 564016321447. The next prime is 564016321537. The reversal of 564016321506 is 605123610465.

564016321506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×564016321506² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2411896 + ... + 2635388.

It is an arithmetic number, because the mean of its divisors is an integer number (38456836074).

Almost surely, 2^564016321506 is an apocalyptic number.

564016321506 is an abundant number, since it is smaller than the sum of its proper divisors (666602432862).

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

564016321506 is a wasteful number, since it uses less digits than its factorization.

564016321506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261746.

The product of its (nonzero) digits is 129600, while the sum is 39.

It can be divided in two parts, 56401632150 and 6, that multiplied together give a square (338409792900 = 581730²).

The spelling of 564016321506 in words is "five hundred sixty-four billion, sixteen million, three hundred twenty-one thousand, five hundred six".