261617436163041 has 64 divisors (see below), whose sum is σ = 404365070376960. Its totient is φ = 147367387791360.

The previous prime is 261617436163019. The next prime is 261617436163051. The reversal of 261617436163041 is 140361634716162.

It is not a de Polignac number, because 261617436163041 - 2⁶ = 261617436162977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (261617436163051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880982376 + ... + 881279286.

It is an arithmetic number, because the mean of its divisors is an integer number (6318204224640).

Almost surely, 2^{261617436163041} is an apocalyptic number.

261617436163041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

261617436163041 is a deficient number, since it is larger than the sum of its proper divisors (142747634213919).

261617436163041 is a wasteful number, since it uses less digits than its factorization.

261617436163041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298734.

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 261617436163041 in words is "two hundred sixty-one trillion, six hundred seventeen billion, four hundred thirty-six million, one hundred sixty-three thousand, forty-one".