10637546121161 has 2 divisors, whose sum is σ = 10637546121162. Its totient is φ = 10637546121160.

The previous prime is 10637546121079. The next prime is 10637546121221. The reversal of 10637546121161 is 16112164573601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8566626534400 + 2070919586761 = 2926880^2 + 1439069^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10637546121161 is a prime.

It is a super-2 number, since 2×10637546121161² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10637546141161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5318773060580 + 5318773060581.

It is an arithmetic number, because the mean of its divisors is an integer number (5318773060581).

Almost surely, 2^{10637546121161} is an apocalyptic number.

It is an amenable number.

10637546121161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10637546121161 is an equidigital number, since it uses as much as digits as its factorization.

10637546121161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 10637546121161 in words is "ten trillion, six hundred thirty-seven billion, five hundred forty-six million, one hundred twenty-one thousand, one hundred sixty-one".