4002053305 has 16 divisors (see below), whose sum is σ = 4826903760. Its totient is φ = 3185388288.

The previous prime is 4002053303. The next prime is 4002053329. The reversal of 4002053305 is 5033502004.

It can be written as a sum of positive squares in 8 ways, for example, as 453349264 + 3548704041 = 21292^2 + 59571^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002053305 - 2¹ = 4002053303 is a prime.

It is a super-2 number, since 2×4002053305² = 32032861312122846050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4002053303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1036759 + ... + 1040611.

It is an arithmetic number, because the mean of its divisors is an integer number (301681485).

Almost surely, 2^4002053305 is an apocalyptic number.

It is an amenable number.

4002053305 is a deficient number, since it is larger than the sum of its proper divisors (824850455).

4002053305 is a wasteful number, since it uses less digits than its factorization.

4002053305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860.

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 4002053305 is about 63261.7839220489. The cubic root of 4002053305 is about 1587.6726237149.

Adding to 4002053305 its reverse (5033502004), we get a palindrome (9035555309).

The spelling of 4002053305 in words is "four billion, two million, fifty-three thousand, three hundred five".