2167537729561 has 2 divisors, whose sum is σ = 2167537729562. Its totient is φ = 2167537729560.

The previous prime is 2167537729543. The next prime is 2167537729597. The reversal of 2167537729561 is 1659277357612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2167537729536 + 25 = 1472256^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 2167537729561 - 2²³ = 2167529340953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2167537729561.

It is not a weakly prime, because it can be changed into another prime (2167537729961) 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 as a sum of consecutive naturals, namely, 1083768864780 + 1083768864781.

It is an arithmetic number, because the mean of its divisors is an integer number (1083768864781).

Almost surely, 2^{2167537729561} is an apocalyptic number.

It is an amenable number.

2167537729561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2167537729561 is an equidigital number, since it uses as much as digits as its factorization.

2167537729561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 33339600, while the sum is 61.

The spelling of 2167537729561 in words is "two trillion, one hundred sixty-seven billion, five hundred thirty-seven million, seven hundred twenty-nine thousand, five hundred sixty-one".