165907272953 has 2 divisors, whose sum is σ = 165907272954. Its totient is φ = 165907272952.

The previous prime is 165907272931. The next prime is 165907272989. The reversal of 165907272953 is 359272709561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143923873129 + 21983399824 = 379373^2 + 148268^2 .

It is a cyclic number.

It is not a de Polignac number, because 165907272953 - 2¹⁴ = 165907256569 is a prime.

It is not a weakly prime, because it can be changed into another prime (165907272653) 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, 82953636476 + 82953636477.

It is an arithmetic number, because the mean of its divisors is an integer number (82953636477).

Almost surely, 2^165907272953 is an apocalyptic number.

It is an amenable number.

165907272953 is a deficient number, since it is larger than the sum of its proper divisors (1).

165907272953 is an equidigital number, since it uses as much as digits as its factorization.

165907272953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7144200, while the sum is 56.

The spelling of 165907272953 in words is "one hundred sixty-five billion, nine hundred seven million, two hundred seventy-two thousand, nine hundred fifty-three".