4004002052 has 6 divisors (see below), whose sum is σ = 7007003598. Its totient is φ = 2002001024.

The previous prime is 4004002049. The next prime is 4004002063. The reversal of 4004002052 is 2502004004.

It can be written as a sum of positive squares in only one way, i.e., 3453442756 + 550559296 = 58766^2 + 23464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4004002052.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500253 + ... + 500500260.

It is an arithmetic number, because the mean of its divisors is an integer number (1167833933).

Almost surely, 2^4004002052 is an apocalyptic number.

It is an amenable number.

4004002052 is a deficient number, since it is larger than the sum of its proper divisors (3003001546).

4004002052 is a wasteful number, since it uses less digits than its factorization.

4004002052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001000517 (or 1001000515 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4004002052 is about 63277.1842926027. The cubic root of 4004002052 is about 1587.9302806369.

Adding to 4004002052 its reverse (2502004004), we get a palindrome (6506006056).

The spelling of 4004002052 in words is "four billion, four million, two thousand, fifty-two", and thus it is an eban number.