2581251085313 has 2 divisors, whose sum is σ = 2581251085314. Its totient is φ = 2581251085312.

The previous prime is 2581251085297. The next prime is 2581251085337. The reversal of 2581251085313 is 3135801521852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1688354600689 + 892896484624 = 1299367^2 + 944932^2 .

It is a cyclic number.

It is not a de Polignac number, because 2581251085313 - 2⁴ = 2581251085297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2581251085213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1290625542656 + 1290625542657.

It is an arithmetic number, because the mean of its divisors is an integer number (1290625542657).

Almost surely, 2^{2581251085313} is an apocalyptic number.

It is an amenable number.

2581251085313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2581251085313 is an equidigital number, since it uses as much as digits as its factorization.

2581251085313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288000, while the sum is 44.

The spelling of 2581251085313 in words is "two trillion, five hundred eighty-one billion, two hundred fifty-one million, eighty-five thousand, three hundred thirteen".