261165252261441 has 16 divisors (see below), whose sum is σ = 385546532514048. Its totient is φ = 155919553587600.

The previous prime is 261165252261383. The next prime is 261165252261491. The reversal of 261165252261441 is 144162252561162.

It is not a de Polignac number, because 261165252261441 - 2⁷ = 261165252261313 is a prime.

It is a super-2 number, since 2×261165252261441² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261165252261491) 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 15 ways as a sum of consecutive naturals, for example, 59060434755 + ... + 59060439176.

It is an arithmetic number, because the mean of its divisors is an integer number (24096658282128).

Almost surely, 2^{261165252261441} is an apocalyptic number.

It is an amenable number.

261165252261441 is a deficient number, since it is larger than the sum of its proper divisors (124381280252607).

261165252261441 is a wasteful number, since it uses less digits than its factorization.

261165252261441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118120874012.

The product of its digits is 1382400, while the sum is 48.

The spelling of 261165252261441 in words is "two hundred sixty-one trillion, one hundred sixty-five billion, two hundred fifty-two million, two hundred sixty-one thousand, four hundred forty-one".