165693051953 has 16 divisors (see below), whose sum is σ = 195517941696. Its totient is φ = 138430568640.

The previous prime is 165693051943. The next prime is 165693051959. The reversal of 165693051953 is 359150396561.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-165693051953 is a prime.

It is a super-2 number, since 2×165693051953² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165693051895 and 165693051904.

It is not an unprimeable number, because it can be changed into a prime (165693051959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2519726 + ... + 2584647.

It is an arithmetic number, because the mean of its divisors is an integer number (12219871356).

Almost surely, 2^165693051953 is an apocalyptic number.

165693051953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

165693051953 is a deficient number, since it is larger than the sum of its proper divisors (29824889743).

165693051953 is a wasteful number, since it uses less digits than its factorization.

165693051953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104624.

The product of its (nonzero) digits is 3280500, while the sum is 53.

The spelling of 165693051953 in words is "one hundred sixty-five billion, six hundred ninety-three million, fifty-one thousand, nine hundred fifty-three".