2008251013 has 2 divisors, whose sum is σ = 2008251014. Its totient is φ = 2008251012.

The previous prime is 2008250983. The next prime is 2008251019. The reversal of 2008251013 is 3101528002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1596242209 + 412008804 = 39953^2 + 20298^2 .

It is a cyclic number.

It is not a de Polignac number, because 2008251013 - 2²⁹ = 1471380101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2008251019) 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 as a sum of consecutive naturals, namely, 1004125506 + 1004125507.

It is an arithmetic number, because the mean of its divisors is an integer number (1004125507).

Almost surely, 2^2008251013 is an apocalyptic number.

It is an amenable number.

2008251013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2008251013 is an equidigital number, since it uses as much as digits as its factorization.

2008251013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 2008251013 is about 44813.5137319090. The cubic root of 2008251013 is about 1261.6512768778.

Adding to 2008251013 its reverse (3101528002), we get a palindrome (5109779015).

The spelling of 2008251013 in words is "two billion, eight million, two hundred fifty-one thousand, thirteen".