34551403510201 has 2 divisors, whose sum is σ = 34551403510202. Its totient is φ = 34551403510200.

The previous prime is 34551403510199. The next prime is 34551403510231. The reversal of 34551403510201 is 10201530415543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34316445184576 + 234958325625 = 5858024^2 + 484725^2 .

It is a cyclic number.

It is not a de Polignac number, because 34551403510201 - 2¹ = 34551403510199 is a prime.

It is a super-3 number, since 3×34551403510201³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 34551403510199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34551403510231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17275701755100 + 17275701755101.

It is an arithmetic number, because the mean of its divisors is an integer number (17275701755101).

Almost surely, 2^{34551403510201} is an apocalyptic number.

It is an amenable number.

34551403510201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34551403510201 is an equidigital number, since it uses as much as digits as its factorization.

34551403510201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 34551403510201 its reverse (10201530415543), we get a palindrome (44752933925744).

The spelling of 34551403510201 in words is "thirty-four trillion, five hundred fifty-one billion, four hundred three million, five hundred ten thousand, two hundred one".