1629779406001 has 2 divisors, whose sum is σ = 1629779406002. Its totient is φ = 1629779406000.

The previous prime is 1629779405983. The next prime is 1629779406023. The reversal of 1629779406001 is 1006049779261.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1033912744225 + 595866661776 = 1016815^2 + 771924^2 .

It is a cyclic number.

It is not a de Polignac number, because 1629779406001 - 2¹³ = 1629779397809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1629779406001.

It is not a weakly prime, because it can be changed into another prime (1629779401001) 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, 814889703000 + 814889703001.

It is an arithmetic number, because the mean of its divisors is an integer number (814889703001).

Almost surely, 2^{1629779406001} is an apocalyptic number.

It is an amenable number.

1629779406001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1629779406001 is an equidigital number, since it uses as much as digits as its factorization.

1629779406001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 1629779406001 in words is "one trillion, six hundred twenty-nine billion, seven hundred seventy-nine million, four hundred six thousand, one".