165035000025 has 243 divisors, whose sum is σ = 355333552119. Its totient is φ = 73007101440.

The previous prime is 165034999999. The next prime is 165035000047. The reversal of 165035000025 is 520000530561.

The square root of 165035000025 is 406245.

It is a perfect power (a square), and thus also a powerful number.

165035000025 is a `hidden beast` number, since 1 + 650 + 3 + 5 + 0 + 0 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 57382765209 + 107652234816 = 239547^2 + 328104^2 .

It is not a de Polignac number, because 165035000025 - 2⁷ = 165034999897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2260753389 + ... + 2260753461.

Almost surely, 2^165035000025 is an apocalyptic number.

165035000025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165035000025 is the 406245-th square number.

165035000025 is the 203123-rd centered octagonal number.

It is an amenable number.

165035000025 is an abundant number, since it is smaller than the sum of its proper divisors (190298552094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165035000025 is an equidigital number, since it uses as much as digits as its factorization.

165035000025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 165035000025 its reverse (520000530561), we get a palindrome (685035530586).

It can be divided in two parts, 16503 and 5000025, that added together give a triangular number (5016528 = T₃₁₆₇).

The spelling of 165035000025 in words is "one hundred sixty-five billion, thirty-five million, twenty-five", and thus it is an aban number.