271205061461761 has 48 divisors (see below), whose sum is σ = 323808415015680. Its totient is φ = 226402159603200.

The previous prime is 271205061461759. The next prime is 271205061461773. The reversal of 271205061461761 is 167164160502172.

It is not a de Polignac number, because 271205061461761 - 2¹ = 271205061461759 is a prime.

It is a super-2 number, since 2×271205061461761² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (271205061461791) 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 47 ways as a sum of consecutive naturals, for example, 767855175 + ... + 768208291.

It is an arithmetic number, because the mean of its divisors is an integer number (6746008646160).

Almost surely, 2^{271205061461761} is an apocalyptic number.

It is an amenable number.

271205061461761 is a deficient number, since it is larger than the sum of its proper divisors (52603353553919).

271205061461761 is a wasteful number, since it uses less digits than its factorization.

271205061461761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355654 (or 355647 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 271205061461761 in words is "two hundred seventy-one trillion, two hundred five billion, sixty-one million, four hundred sixty-one thousand, seven hundred sixty-one".