1564004001 has 24 divisors (see below), whose sum is σ = 2456526720. Its totient is φ = 882397152.

The previous prime is 1564003997. The next prime is 1564004003. The reversal of 1564004001 is 1004004651.

1564004001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1564004001 - 2² = 1564003997 is a prime.

It is a super-2 number, since 2×1564004001² = 4892217030288016002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1564004003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55726 + ... + 78951.

It is an arithmetic number, because the mean of its divisors is an integer number (102355280).

Almost surely, 2^1564004001 is an apocalyptic number.

It is an amenable number.

1564004001 is a deficient number, since it is larger than the sum of its proper divisors (892522719).

1564004001 is a wasteful number, since it uses less digits than its factorization.

1564004001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134773 (or 134766 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1564004001 is about 39547.4904513548. The cubic root of 1564004001 is about 1160.7694065675.

Adding to 1564004001 its reverse (1004004651), we get a palindrome (2568008652).

The spelling of 1564004001 in words is "one billion, five hundred sixty-four million, four thousand, one".