53185123161 has 9 divisors (see below), whose sum is σ = 76823955039. Its totient is φ = 35456287536.

The previous prime is 53185123129. The next prime is 53185123193. The reversal of 53185123161 is 16132158135.

It is a happy number.

The square root of 53185123161 is 230619.

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

53185123161 is a `hidden beast` number, since 5 + 318 + 51 + 231 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (53185123129) and next prime (53185123193).

It can be written as a sum of positive squares in only one way, i.e., 52787360025 + 397763136 = 229755^2 + 19944^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 53185123161 - 2⁵ = 53185123129 is a prime.

It is a super-4 number, since 4×53185123161⁴ (a number of 44 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (53185123661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 653421 + ... + 730293.

Almost surely, 2^53185123161 is an apocalyptic number.

53185123161 is the 230619-th square number.

53185123161 is the 115310-th centered octagonal number.

It is an amenable number.

53185123161 is a deficient number, since it is larger than the sum of its proper divisors (23638831878).

53185123161 is an frugal number, since it uses more digits than its factorization.

53185123161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153752 (or 76876 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

Multiplying 53185123161 by its sum of digits (36), we get a square (1914664433796 = 1383714²).

The spelling of 53185123161 in words is "fifty-three billion, one hundred eighty-five million, one hundred twenty-three thousand, one hundred sixty-one".