564031040401 has 16 divisors (see below), whose sum is σ = 581895475920. Its totient is φ = 546306232320.

The previous prime is 564031040371. The next prime is 564031040453. The reversal of 564031040401 is 104040130465.

564031040401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 751020²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 268096128400 + 295934912001 = 517780^2 + 543999^2 .

It is a cyclic number.

It is not a de Polignac number, because 564031040401 - 2⁹ = 564031039889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 564031040401.

It is not an unprimeable number, because it can be changed into a prime (564031040501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27534375 + ... + 27554851.

It is an arithmetic number, because the mean of its divisors is an integer number (36368467245).

Almost surely, 2^564031040401 is an apocalyptic number.

It is an amenable number.

564031040401 is a deficient number, since it is larger than the sum of its proper divisors (17864435519).

564031040401 is a wasteful number, since it uses less digits than its factorization.

564031040401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23844.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 564031040401 its reverse (104040130465), we get a palindrome (668071170866).

The spelling of 564031040401 in words is "five hundred sixty-four billion, thirty-one million, forty thousand, four hundred one".