16610312129 has 2 divisors, whose sum is σ = 16610312130. Its totient is φ = 16610312128.

The previous prime is 16610312123. The next prime is 16610312143. The reversal of 16610312129 is 92121301661.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16009081729 + 601230400 = 126527^2 + 24520^2 .

It is a cyclic number.

It is not a de Polignac number, because 16610312129 - 2⁴ = 16610312113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16610312095 and 16610312104.

It is not a weakly prime, because it can be changed into another prime (16610312123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8305156064 + 8305156065.

It is an arithmetic number, because the mean of its divisors is an integer number (8305156065).

Almost surely, 2^16610312129 is an apocalyptic number.

It is an amenable number.

16610312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

16610312129 is an equidigital number, since it uses as much as digits as its factorization.

16610312129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 32.

Adding to 16610312129 its sum of digits (32), we get a 4-th power (16610312161 = 359⁴).

The spelling of 16610312129 in words is "sixteen billion, six hundred ten million, three hundred twelve thousand, one hundred twenty-nine".