10405613477629 has 2 divisors, whose sum is σ = 10405613477630. Its totient is φ = 10405613477628.

The previous prime is 10405613477573. The next prime is 10405613477639. The reversal of 10405613477629 is 92677431650401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10192681989604 + 212931488025 = 3192598^2 + 461445^2 .

It is a cyclic number.

It is not a de Polignac number, because 10405613477629 - 2⁹ = 10405613477117 is a prime.

It is a super-3 number, since 3×10405613477629³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10405613477629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10405613477639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202806738814 + 5202806738815.

It is an arithmetic number, because the mean of its divisors is an integer number (5202806738815).

Almost surely, 2^{10405613477629} is an apocalyptic number.

It is an amenable number.

10405613477629 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405613477629 is an equidigital number, since it uses as much as digits as its factorization.

10405613477629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 10405613477629 in words is "ten trillion, four hundred five billion, six hundred thirteen million, four hundred seventy-seven thousand, six hundred twenty-nine".