2531251013 has 2 divisors, whose sum is σ = 2531251014. Its totient is φ = 2531251012.

The previous prime is 2531251007. The next prime is 2531251031. The reversal of 2531251013 is 3101521352.

It is a happy number.

Together with next prime (2531251031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2525766049 + 5484964 = 50257^2 + 2342^2 .

It is a cyclic number.

It is not a de Polignac number, because 2531251013 - 2⁶ = 2531250949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2531251013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2531251043) 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, 1265625506 + 1265625507.

It is an arithmetic number, because the mean of its divisors is an integer number (1265625507).

Almost surely, 2^2531251013 is an apocalyptic number.

It is an amenable number.

2531251013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2531251013 is an equidigital number, since it uses as much as digits as its factorization.

2531251013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 2531251013 is about 50311.5395610192. The cubic root of 2531251013 is about 1362.8406264259.

Adding to 2531251013 its reverse (3101521352), we get a palindrome (5632772365).

The spelling of 2531251013 in words is "two billion, five hundred thirty-one million, two hundred fifty-one thousand, thirteen".