2586628412341 has 2 divisors, whose sum is σ = 2586628412342. Its totient is φ = 2586628412340.

The previous prime is 2586628412339. The next prime is 2586628412369. The reversal of 2586628412341 is 1432148266852.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1360174050225 + 1226454362116 = 1166265^2 + 1107454^2 .

It is a cyclic number.

It is not a de Polignac number, because 2586628412341 - 2¹ = 2586628412339 is a prime.

It is a super-2 number, since 2×2586628412341² (a number of 26 digits) contains 22 as substring.

Together with 2586628412339, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2586628412371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1293314206170 + 1293314206171.

It is an arithmetic number, because the mean of its divisors is an integer number (1293314206171).

Almost surely, 2^{2586628412341} is an apocalyptic number.

It is an amenable number.

2586628412341 is a deficient number, since it is larger than the sum of its proper divisors (1).

2586628412341 is an equidigital number, since it uses as much as digits as its factorization.

2586628412341 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4423680, while the sum is 52.

The spelling of 2586628412341 in words is "two trillion, five hundred eighty-six billion, six hundred twenty-eight million, four hundred twelve thousand, three hundred forty-one".