33934590547313 has 2 divisors, whose sum is σ = 33934590547314. Its totient is φ = 33934590547312.

The previous prime is 33934590547201. The next prime is 33934590547327. The reversal of 33934590547313 is 31374509543933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17668630407649 + 16265960139664 = 4203407^2 + 4033108^2 .

It is a cyclic number.

It is not a de Polignac number, because 33934590547313 - 2²⁰ = 33934589498737 is a prime.

It is a super-2 number, since 2×33934590547313² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33934590547393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16967295273656 + 16967295273657.

It is an arithmetic number, because the mean of its divisors is an integer number (16967295273657).

Almost surely, 2^{33934590547313} is an apocalyptic number.

It is an amenable number.

33934590547313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33934590547313 is an equidigital number, since it uses as much as digits as its factorization.

33934590547313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55112400, while the sum is 59.

The spelling of 33934590547313 in words is "thirty-three trillion, nine hundred thirty-four billion, five hundred ninety million, five hundred forty-seven thousand, three hundred thirteen".