1605616105005 has 72 divisors (see below), whose sum is σ = 3120349194144. Its totient is φ = 757440201600.

The previous prime is 1605616105003. The next prime is 1605616105007. The reversal of 1605616105005 is 5005016165061.

It is an interprime number because it is at equal distance from previous prime (1605616105003) and next prime (1605616105007).

It is not a de Polignac number, because 1605616105005 - 2¹ = 1605616105003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605616105003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 507031 + ... + 1862340.

It is an arithmetic number, because the mean of its divisors is an integer number (43338183252).

Almost surely, 2^{1605616105005} is an apocalyptic number.

1605616105005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1605616105005 is a deficient number, since it is larger than the sum of its proper divisors (1514733089139).

1605616105005 is a wasteful number, since it uses less digits than its factorization.

1605616105005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369467 (or 2369427 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 1605616105005 in words is "one trillion, six hundred five billion, six hundred sixteen million, one hundred five thousand, five".