309225128192681 has 2 divisors, whose sum is σ = 309225128192682. Its totient is φ = 309225128192680.

The previous prime is 309225128192633. The next prime is 309225128192689. The reversal of 309225128192681 is 186291821522903.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308855458112656 + 369670080025 = 17574284^2 + 608005^2 .

It is a cyclic number.

It is not a de Polignac number, because 309225128192681 - 2²² = 309225123998377 is a prime.

It is a super-2 number, since 2×309225128192681² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 309225128192681.

It is not a weakly prime, because it can be changed into another prime (309225128192689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 154612564096340 + 154612564096341.

It is an arithmetic number, because the mean of its divisors is an integer number (154612564096341).

Almost surely, 2^{309225128192681} is an apocalyptic number.

It is an amenable number.

309225128192681 is a deficient number, since it is larger than the sum of its proper divisors (1).

309225128192681 is an equidigital number, since it uses as much as digits as its factorization.

309225128192681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7464960, while the sum is 59.

The spelling of 309225128192681 in words is "three hundred nine trillion, two hundred twenty-five billion, one hundred twenty-eight million, one hundred ninety-two thousand, six hundred eighty-one".