2581630467709 has 2 divisors, whose sum is σ = 2581630467710. Its totient is φ = 2581630467708.

The previous prime is 2581630467677. The next prime is 2581630467721. The reversal of 2581630467709 is 9077640361852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1982675205625 + 598955262084 = 1408075^2 + 773922^2 .

It is a cyclic number.

It is not a de Polignac number, because 2581630467709 - 2⁵ = 2581630467677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2581630467749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1290815233854 + 1290815233855.

It is an arithmetic number, because the mean of its divisors is an integer number (1290815233855).

It is a 1-persistent number, because it is pandigital, but 2⋅2581630467709 = 5163260935418 is not.

Almost surely, 2^{2581630467709} is an apocalyptic number.

It is an amenable number.

2581630467709 is a deficient number, since it is larger than the sum of its proper divisors (1).

2581630467709 is an equidigital number, since it uses as much as digits as its factorization.

2581630467709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 2581630467709 in words is "two trillion, five hundred eighty-one billion, six hundred thirty million, four hundred sixty-seven thousand, seven hundred nine".