33545342566361 has 2 divisors, whose sum is σ = 33545342566362. Its totient is φ = 33545342566360.

The previous prime is 33545342566349. The next prime is 33545342566367. The reversal of 33545342566361 is 16366524354533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29000174402761 + 4545168163600 = 5385181^2 + 2131940^2 .

It is a cyclic number.

It is not a de Polignac number, because 33545342566361 - 2³⁰ = 33544268824537 is a prime.

It is a super-2 number, since 2×33545342566361² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33545342566297 and 33545342566306.

It is not a weakly prime, because it can be changed into another prime (33545342566367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16772671283180 + 16772671283181.

It is an arithmetic number, because the mean of its divisors is an integer number (16772671283181).

Almost surely, 2^{33545342566361} is an apocalyptic number.

It is an amenable number.

33545342566361 is a deficient number, since it is larger than the sum of its proper divisors (1).

33545342566361 is an equidigital number, since it uses as much as digits as its factorization.

33545342566361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 69984000, while the sum is 56.

The spelling of 33545342566361 in words is "thirty-three trillion, five hundred forty-five billion, three hundred forty-two million, five hundred sixty-six thousand, three hundred sixty-one".