201305400564 has 24 divisors (see below), whose sum is σ = 471781826208. Its totient is φ = 66806196640.

The previous prime is 201305400553. The next prime is 201305400589. The reversal of 201305400564 is 465004503102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36947607 + ... + 36953054.

It is an arithmetic number, because the mean of its divisors is an integer number (19657576092).

Almost surely, 2^201305400564 is an apocalyptic number.

It is an amenable number.

201305400564 is an abundant number, since it is smaller than the sum of its proper divisors (270476425644).

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

201305400564 is a wasteful number, since it uses less digits than its factorization.

201305400564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73900895 (or 73900893 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 201305400564 its reverse (465004503102), we get a palindrome (666309903666).

The spelling of 201305400564 in words is "two hundred one billion, three hundred five million, four hundred thousand, five hundred sixty-four".