4004564523413 has 8 divisors (see below), whose sum is σ = 4041505872600. Its totient is φ = 3967649538048.

The previous prime is 4004564523371. The next prime is 4004564523433. The reversal of 4004564523413 is 3143254654004.

It can be written as a sum of positive squares in 4 ways, for example, as 88507440004 + 3916057083409 = 297502^2 + 1978903^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4004564523413 - 2²⁶ = 4004497414549 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004564523433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6285698 + ... + 6893411.

It is an arithmetic number, because the mean of its divisors is an integer number (505188234075).

Almost surely, 2^{4004564523413} is an apocalyptic number.

It is an amenable number.

4004564523413 is a deficient number, since it is larger than the sum of its proper divisors (36941349187).

4004564523413 is a wasteful number, since it uses less digits than its factorization.

4004564523413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13181911.

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 4004564523413 in words is "four trillion, four billion, five hundred sixty-four million, five hundred twenty-three thousand, four hundred thirteen".