1605413131261 has 16 divisors (see below), whose sum is σ = 1623354163200. Its totient is φ = 1587581829360.

The previous prime is 1605413131237. The next prime is 1605413131277. The reversal of 1605413131261 is 1621313145061.

It is a cyclic number.

It is not a de Polignac number, because 1605413131261 - 2²⁹ = 1604876260349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605413131211) 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 in 15 ways as a sum of consecutive naturals, for example, 53019556 + ... + 53049826.

It is an arithmetic number, because the mean of its divisors is an integer number (101459635200).

Almost surely, 2^{1605413131261} is an apocalyptic number.

It is an amenable number.

1605413131261 is a deficient number, since it is larger than the sum of its proper divisors (17941031939).

1605413131261 is a wasteful number, since it uses less digits than its factorization.

1605413131261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32064.

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 1605413131261 in words is "one trillion, six hundred five billion, four hundred thirteen million, one hundred thirty-one thousand, two hundred sixty-one".