109523386337 has 2 divisors, whose sum is σ = 109523386338. Its totient is φ = 109523386336.

The previous prime is 109523386331. The next prime is 109523386339. The reversal of 109523386337 is 733683325901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95109943201 + 14413443136 = 308399^2 + 120056^2 .

It is a cyclic number.

It is not a de Polignac number, because 109523386337 - 2¹⁶ = 109523320801 is a prime.

Together with 109523386339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (109523386331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54761693168 + 54761693169.

It is an arithmetic number, because the mean of its divisors is an integer number (54761693169).

Almost surely, 2^109523386337 is an apocalyptic number.

It is an amenable number.

109523386337 is a deficient number, since it is larger than the sum of its proper divisors (1).

109523386337 is an equidigital number, since it uses as much as digits as its factorization.

109523386337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2449440, while the sum is 50.

The spelling of 109523386337 in words is "one hundred nine billion, five hundred twenty-three million, three hundred eighty-six thousand, three hundred thirty-seven".