34515211024361 has 2 divisors, whose sum is σ = 34515211024362. Its totient is φ = 34515211024360.

The previous prime is 34515211024319. The next prime is 34515211024391. The reversal of 34515211024361 is 16342011251543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34451394159961 + 63816864400 = 5869531^2 + 252620^2 .

It is an emirp because it is prime and its reverse (16342011251543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34515211024361 - 2¹⁸ = 34515210762217 is a prime.

It is a super-2 number, since 2×34515211024361² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34515211024391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17257605512180 + 17257605512181.

It is an arithmetic number, because the mean of its divisors is an integer number (17257605512181).

Almost surely, 2^{34515211024361} is an apocalyptic number.

It is an amenable number.

34515211024361 is a deficient number, since it is larger than the sum of its proper divisors (1).

34515211024361 is an equidigital number, since it uses as much as digits as its factorization.

34515211024361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 34515211024361 in words is "thirty-four trillion, five hundred fifteen billion, two hundred eleven million, twenty-four thousand, three hundred sixty-one".