4002052001 has 2 divisors, whose sum is σ = 4002052002. Its totient is φ = 4002052000.

The previous prime is 4002051983. The next prime is 4002052007. The reversal of 4002052001 is 1002502004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2867709601 + 1134342400 = 53551^2 + 33680^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4002052001 is a prime.

It is not a weakly prime, because it can be changed into another prime (4002052007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001026000 + 2001026001.

It is an arithmetic number, because the mean of its divisors is an integer number (2001026001).

Almost surely, 2^4002052001 is an apocalyptic number.

It is an amenable number.

4002052001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002052001 is an equidigital number, since it uses as much as digits as its factorization.

4002052001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4002052001 is about 63261.7736156678. The cubic root of 4002052001 is about 1587.6724512764.

Adding to 4002052001 its reverse (1002502004), we get a palindrome (5004554005).

The spelling of 4002052001 in words is "four billion, two million, fifty-two thousand, one".