1564242411121 has 16 divisors (see below), whose sum is σ = 1716553717200. Its totient is φ = 1416506757120.

The previous prime is 1564242411091. The next prime is 1564242411131. The reversal of 1564242411121 is 1211142424651.

It can be written as a sum of positive squares in 8 ways, for example, as 73801872225 + 1490440538896 = 271665^2 + 1220836^2 .

It is not a de Polignac number, because 1564242411121 - 2³³ = 1555652476529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1564242411131) 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, 5968681 + ... + 6225241.

It is an arithmetic number, because the mean of its divisors is an integer number (107284607325).

Almost surely, 2^{1564242411121} is an apocalyptic number.

It is an amenable number.

1564242411121 is a deficient number, since it is larger than the sum of its proper divisors (152311306079).

1564242411121 is a wasteful number, since it uses less digits than its factorization.

1564242411121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265476.

The product of its digits is 15360, while the sum is 34.

Adding to 1564242411121 its reverse (1211142424651), we get a palindrome (2775384835772).

The spelling of 1564242411121 in words is "one trillion, five hundred sixty-four billion, two hundred forty-two million, four hundred eleven thousand, one hundred twenty-one".