34536065644313 has 2 divisors, whose sum is σ = 34536065644314. Its totient is φ = 34536065644312.

The previous prime is 34536065644307. The next prime is 34536065644391. The reversal of 34536065644313 is 31344656063543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34424822049289 + 111243595024 = 5867267^2 + 333532^2 .

It is a cyclic number.

It is not a de Polignac number, because 34536065644313 - 2¹² = 34536065640217 is a prime.

It is not a weakly prime, because it can be changed into another prime (34536065644013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17268032822156 + 17268032822157.

It is an arithmetic number, because the mean of its divisors is an integer number (17268032822157).

Almost surely, 2^{34536065644313} is an apocalyptic number.

It is an amenable number.

34536065644313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34536065644313 is an equidigital number, since it uses as much as digits as its factorization.

34536065644313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27993600, while the sum is 53.

The spelling of 34536065644313 in words is "thirty-four trillion, five hundred thirty-six billion, sixty-five million, six hundred forty-four thousand, three hundred thirteen".