345303262303553 has 2 divisors, whose sum is σ = 345303262303554. Its totient is φ = 345303262303552.

The previous prime is 345303262303477. The next prime is 345303262303567. The reversal of 345303262303553 is 355303262303543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 338267760691249 + 7035501612304 = 18392057^2 + 2652452^2 .

It is a cyclic number.

It is not a de Polignac number, because 345303262303553 - 2⁸ = 345303262303297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345303262303498 and 345303262303507.

It is not a weakly prime, because it can be changed into another prime (345303262303253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172651631151776 + 172651631151777.

It is an arithmetic number, because the mean of its divisors is an integer number (172651631151777).

Almost surely, 2^{345303262303553} is an apocalyptic number.

It is an amenable number.

345303262303553 is a deficient number, since it is larger than the sum of its proper divisors (1).

345303262303553 is an equidigital number, since it uses as much as digits as its factorization.

345303262303553 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748000, while the sum is 47.

The spelling of 345303262303553 in words is "three hundred forty-five trillion, three hundred three billion, two hundred sixty-two million, three hundred three thousand, five hundred fifty-three".