261007171270001 has 32 divisors (see below), whose sum is σ = 293508807379200. Its totient is φ = 230542005657600.

The previous prime is 261007171269979. The next prime is 261007171270019. The reversal of 261007171270001 is 100072171700162.

It is a de Polignac number, because none of the positive numbers 2^k-261007171270001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261007171270501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10564451 + ... + 25171848.

It is an arithmetic number, because the mean of its divisors is an integer number (9172150230600).

Almost surely, 2^{261007171270001} is an apocalyptic number.

It is an amenable number.

261007171270001 is a deficient number, since it is larger than the sum of its proper divisors (32501636109199).

261007171270001 is a wasteful number, since it uses less digits than its factorization.

261007171270001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35736617.

The product of its (nonzero) digits is 8232, while the sum is 35.

The spelling of 261007171270001 in words is "two hundred sixty-one trillion, seven billion, one hundred seventy-one million, two hundred seventy thousand, one".