1605663325761 has 48 divisors (see below), whose sum is σ = 2366618870784. Its totient is φ = 967586400000.

The previous prime is 1605663325709. The next prime is 1605663325771. The reversal of 1605663325761 is 1675233665061.

It is not a de Polignac number, because 1605663325761 - 2¹⁷ = 1605663194689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1605663325771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208064475 + ... + 208072191.

It is an arithmetic number, because the mean of its divisors is an integer number (49304559808).

Almost surely, 2^{1605663325761} is an apocalyptic number.

1605663325761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1605663325761 is a deficient number, since it is larger than the sum of its proper divisors (760955545023).

1605663325761 is a wasteful number, since it uses less digits than its factorization.

1605663325761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10934 (or 10923 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 1605663325761 in words is "one trillion, six hundred five billion, six hundred sixty-three million, three hundred twenty-five thousand, seven hundred sixty-one".