126653041161 has 12 divisors (see below), whose sum is σ = 184278635892. Its totient is φ = 83819043456.

The previous prime is 126653041153. The next prime is 126653041169. The reversal of 126653041161 is 161140356621.

126653041161 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 530 + 4 + 116 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (126653041153) and next prime (126653041169).

It can be written as a sum of positive squares in 2 ways, for example, as 103474805625 + 23178235536 = 321675^2 + 152244^2 .

It is not a de Polignac number, because 126653041161 - 2³ = 126653041153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126653041169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51358476 + ... + 51360941.

It is an arithmetic number, because the mean of its divisors is an integer number (15356552991).

Almost surely, 2^126653041161 is an apocalyptic number.

It is an amenable number.

126653041161 is a deficient number, since it is larger than the sum of its proper divisors (57625594731).

126653041161 is a wasteful number, since it uses less digits than its factorization.

126653041161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102719560 (or 102719557 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 126653041161 its reverse (161140356621), we get a palindrome (287793397782).

The spelling of 126653041161 in words is "one hundred twenty-six billion, six hundred fifty-three million, forty-one thousand, one hundred sixty-one".