126165901202569 has 2 divisors, whose sum is σ = 126165901202570. Its totient is φ = 126165901202568.

The previous prime is 126165901202543. The next prime is 126165901202573. The reversal of 126165901202569 is 965202109561621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114733982846025 + 11431918356544 = 10711395^2 + 3381112^2 .

It is a cyclic number.

It is not a de Polignac number, because 126165901202569 - 2⁷ = 126165901202441 is a prime.

It is a super-2 number, since 2×126165901202569² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (126165901202269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63082950601284 + 63082950601285.

It is an arithmetic number, because the mean of its divisors is an integer number (63082950601285).

Almost surely, 2^{126165901202569} is an apocalyptic number.

It is an amenable number.

126165901202569 is a deficient number, since it is larger than the sum of its proper divisors (1).

126165901202569 is an equidigital number, since it uses as much as digits as its factorization.

126165901202569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3499200, while the sum is 55.

The spelling of 126165901202569 in words is "one hundred twenty-six trillion, one hundred sixty-five billion, nine hundred one million, two hundred two thousand, five hundred sixty-nine".