261731202137162 has 8 divisors (see below), whose sum is σ = 396483900267492. Its totient is φ = 129569902048000.

The previous prime is 261731202137087. The next prime is 261731202137177.

It is a happy number.

261731202137162 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 181730323986121 + 80000878151041 = 13480739^2 + 8944321^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×261731202137162² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 647849510039 + ... + 647849510442.

Almost surely, 2^{261731202137162} is an apocalyptic number.

261731202137162 is a deficient number, since it is larger than the sum of its proper divisors (134752698130330).

261731202137162 is a wasteful number, since it uses less digits than its factorization.

261731202137162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295699020584.

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 261731202137162 in words is "two hundred sixty-one trillion, seven hundred thirty-one billion, two hundred two million, one hundred thirty-seven thousand, one hundred sixty-two".