1605413105021 has 6 divisors (see below), whose sum is σ = 1764627627966. Its totient is φ = 1459466459000.

The previous prime is 1605413104987. The next prime is 1605413105047. The reversal of 1605413105021 is 1205013145061.

It can be written as a sum of positive squares in only one way, i.e., 1490142669796 + 115270435225 = 1220714^2 + 339515^2 .

It is not a de Polignac number, because 1605413105021 - 2²² = 1605408910717 is a prime.

It is a super-3 number, since 3×1605413105021³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605413125021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6633938330 + ... + 6633938571.

It is an arithmetic number, because the mean of its divisors is an integer number (294104604661).

Almost surely, 2^{1605413105021} is an apocalyptic number.

1605413105021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1605413105021 is a deficient number, since it is larger than the sum of its proper divisors (159214522945).

1605413105021 is a wasteful number, since it uses less digits than its factorization.

1605413105021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13267876923 (or 13267876912 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 1605413105021 in words is "one trillion, six hundred five billion, four hundred thirteen million, one hundred five thousand, twenty-one".