161125424603361 has 45 divisors (see below), whose sum is σ = 241479575251299. Its totient is φ = 107067294061200.

The previous prime is 161125424603359. The next prime is 161125424603383. The reversal of 161125424603361 is 163306424521161.

The square root of 161125424603361 is 12693519.

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

161125424603361 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 2 + 5 + 4 + 2 + 4 + 603 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 155726214698961 + 5399209904400 = 12479031^2 + 2323620^2 .

It is not a de Polignac number, because 161125424603361 - 2¹ = 161125424603359 is a prime.

It is a super-2 number, since 2×161125424603361² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161125424602361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37813990971 + ... + 37813995231.

Almost surely, 2^{161125424603361} is an apocalyptic number.

161125424603361 is the 12693519-th square number.

161125424603361 is the 6346760-th centered octagonal number.

It is an amenable number.

161125424603361 is a deficient number, since it is larger than the sum of its proper divisors (80354150647938).

161125424603361 is an frugal number, since it uses more digits than its factorization.

161125424603361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 161125424603361 in words is "one hundred sixty-one trillion, one hundred twenty-five billion, four hundred twenty-four million, six hundred three thousand, three hundred sixty-one".