4004525513 has 2 divisors, whose sum is σ = 4004525514. Its totient is φ = 4004525512.

The previous prime is 4004525501. The next prime is 4004525521. The reversal of 4004525513 is 3155254004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3897754624 + 106770889 = 62432^2 + 10333^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004525513 - 2¹⁴ = 4004509129 is a prime.

It is not a weakly prime, because it can be changed into another prime (4004525573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002262756 + 2002262757.

It is an arithmetic number, because the mean of its divisors is an integer number (2002262757).

Almost surely, 2^4004525513 is an apocalyptic number.

It is an amenable number.

4004525513 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004525513 is an equidigital number, since it uses as much as digits as its factorization.

4004525513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 4004525513 is about 63281.3204113189. The cubic root of 4004525513 is about 1587.9994766847. Note that the first 3 decimals are identical.

Adding to 4004525513 its reverse (3155254004), we get a palindrome (7159779517).

The spelling of 4004525513 in words is "four billion, four million, five hundred twenty-five thousand, five hundred thirteen".