71180100132649 has 2 divisors, whose sum is σ = 71180100132650. Its totient is φ = 71180100132648.

The previous prime is 71180100132643. The next prime is 71180100132671. The reversal of 71180100132649 is 94623100108117.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36842047155225 + 34338052977424 = 6069765^2 + 5859868^2 .

It is a cyclic number.

It is not a de Polignac number, because 71180100132649 - 2²⁵ = 71180066578217 is a prime.

It is not a weakly prime, because it can be changed into another prime (71180100132643) 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 as a sum of consecutive naturals, namely, 35590050066324 + 35590050066325.

It is an arithmetic number, because the mean of its divisors is an integer number (35590050066325).

Almost surely, 2^{71180100132649} is an apocalyptic number.

It is an amenable number.

71180100132649 is a deficient number, since it is larger than the sum of its proper divisors (1).

71180100132649 is an equidigital number, since it uses as much as digits as its factorization.

71180100132649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 71180100132649 in words is "seventy-one trillion, one hundred eighty billion, one hundred million, one hundred thirty-two thousand, six hundred forty-nine".