133031522516657 has 2 divisors, whose sum is σ = 133031522516658. Its totient is φ = 133031522516656.

The previous prime is 133031522516621. The next prime is 133031522516677. The reversal of 133031522516657 is 756615225130331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106646082187681 + 26385440328976 = 10326959^2 + 5136676^2 .

It is a cyclic number.

It is not a de Polignac number, because 133031522516657 - 2²⁴ = 133031505739441 is a prime.

It is not a weakly prime, because it can be changed into another prime (133031522516677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66515761258328 + 66515761258329.

It is an arithmetic number, because the mean of its divisors is an integer number (66515761258329).

Almost surely, 2^{133031522516657} is an apocalyptic number.

It is an amenable number.

133031522516657 is a deficient number, since it is larger than the sum of its proper divisors (1).

133031522516657 is an equidigital number, since it uses as much as digits as its factorization.

133031522516657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402000, while the sum is 50.

Adding to 133031522516657 its reverse (756615225130331), we get a palindrome (889646747646988).

The spelling of 133031522516657 in words is "one hundred thirty-three trillion, thirty-one billion, five hundred twenty-two million, five hundred sixteen thousand, six hundred fifty-seven".