305413362235073 has 2 divisors, whose sum is σ = 305413362235074. Its totient is φ = 305413362235072.

The previous prime is 305413362235019. The next prime is 305413362235087. The reversal of 305413362235073 is 370532263314503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304392470241409 + 1020891993664 = 17446847^2 + 1010392^2 .

It is a cyclic number.

It is not a de Polignac number, because 305413362235073 - 2¹⁶ = 305413362169537 is a prime.

It is a super-2 number, since 2×305413362235073² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (305413362235973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152706681117536 + 152706681117537.

It is an arithmetic number, because the mean of its divisors is an integer number (152706681117537).

Almost surely, 2^{305413362235073} is an apocalyptic number.

It is an amenable number.

305413362235073 is a deficient number, since it is larger than the sum of its proper divisors (1).

305413362235073 is an equidigital number, since it uses as much as digits as its factorization.

305413362235073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4082400, while the sum is 47.

The spelling of 305413362235073 in words is "three hundred five trillion, four hundred thirteen billion, three hundred sixty-two million, two hundred thirty-five thousand, seventy-three".