171261588651841 has 2 divisors, whose sum is σ = 171261588651842. Its totient is φ = 171261588651840.

The previous prime is 171261588651799. The next prime is 171261588651847. The reversal of 171261588651841 is 148156885162171.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167819821611841 + 3441767040000 = 12954529^2 + 1855200^2 .

It is a cyclic number.

It is not a de Polignac number, because 171261588651841 - 2¹¹ = 171261588649793 is a prime.

It is not a weakly prime, because it can be changed into another prime (171261588651847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 85630794325920 + 85630794325921.

It is an arithmetic number, because the mean of its divisors is an integer number (85630794325921).

Almost surely, 2^{171261588651841} is an apocalyptic number.

It is an amenable number.

171261588651841 is a deficient number, since it is larger than the sum of its proper divisors (1).

171261588651841 is an equidigital number, since it uses as much as digits as its factorization.

171261588651841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25804800, while the sum is 64.

The spelling of 171261588651841 in words is "one hundred seventy-one trillion, two hundred sixty-one billion, five hundred eighty-eight million, six hundred fifty-one thousand, eight hundred forty-one".