1036422261601 has 2 divisors, whose sum is σ = 1036422261602. Its totient is φ = 1036422261600.

The previous prime is 1036422261529. The next prime is 1036422261617. The reversal of 1036422261601 is 1061622246301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 974413791376 + 62008470225 = 987124^2 + 249015^2 .

It is an emirp because it is prime and its reverse (1061622246301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1036422261601 - 2⁹ = 1036422261089 is a prime.

It is a super-3 number, since 3×1036422261601³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1036422261661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518211130800 + 518211130801.

It is an arithmetic number, because the mean of its divisors is an integer number (518211130801).

Almost surely, 2^{1036422261601} is an apocalyptic number.

It is an amenable number.

1036422261601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1036422261601 is an equidigital number, since it uses as much as digits as its factorization.

1036422261601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 1036422261601 in words is "one trillion, thirty-six billion, four hundred twenty-two million, two hundred sixty-one thousand, six hundred one".