165225365253 has 24 divisors (see below), whose sum is σ = 257042298240. Its totient is φ = 101667232800.

The previous prime is 165225365243. The next prime is 165225365293. The reversal of 165225365253 is 352563522561.

It is a happy number.

165225365253 is a `hidden beast` number, since 1 + 65 + 2 + 2 + 536 + 5 + 2 + 53 = 666.

It is not a de Polignac number, because 165225365253 - 2³³ = 156635430661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165225365199 and 165225365208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165225365243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242328 + ... + 1368878.

It is an arithmetic number, because the mean of its divisors is an integer number (10710095760).

Almost surely, 2^165225365253 is an apocalyptic number.

165225365253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

165225365253 is a deficient number, since it is larger than the sum of its proper divisors (91816932987).

165225365253 is a wasteful number, since it uses less digits than its factorization.

165225365253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137729 (or 137726 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 45.

The spelling of 165225365253 in words is "one hundred sixty-five billion, two hundred twenty-five million, three hundred sixty-five thousand, two hundred fifty-three".