259202156161 has 9 divisors (see below), whose sum is σ = 280681691139. Its totient is φ = 239257419336.

The previous prime is 259202156159. The next prime is 259202156207. The reversal of 259202156161 is 161651202952.

The square root of 259202156161 is 509119.

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

It can be written as a sum of positive squares in only one way, i.e., 38343514225 + 220858641936 = 195815^2 + 469956^2 .

It is not a de Polignac number, because 259202156161 - 2¹ = 259202156159 is a prime.

It is a super-2 number, since 2×259202156161² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259202156261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6598966 + ... + 6638128.

It is an arithmetic number, because the mean of its divisors is an integer number (31186854571).

Almost surely, 2^259202156161 is an apocalyptic number.

259202156161 is the 509119-th square number.

259202156161 is the 254560-th centered octagonal number.

It is an amenable number.

259202156161 is a deficient number, since it is larger than the sum of its proper divisors (21479534978).

259202156161 is an frugal number, since it uses more digits than its factorization.

259202156161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78352 (or 39176 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 259202156161 in words is "two hundred fifty-nine billion, two hundred two million, one hundred fifty-six thousand, one hundred sixty-one".