1605286466001 has 27 divisors (see below), whose sum is σ = 2333960627817. Its totient is φ = 1063214880840.

The previous prime is 1605286465969. The next prime is 1605286466023. The reversal of 1605286466001 is 1006646825061.

The square root of 1605286466001 is 1266999.

It is a perfect power (a square), and thus also a powerful number.

1605286466001 is a `hidden beast` number, since 1 + 6 + 0 + 528 + 64 + 6 + 60 + 0 + 1 = 666.

It is not a de Polignac number, because 1605286466001 - 2⁵ = 1605286465969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1605286366001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 619561216 + ... + 619563806.

Almost surely, 2^{1605286466001} is an apocalyptic number.

1605286466001 is the 1266999-th square number.

1605286466001 is the 633500-th centered octagonal number.

It is an amenable number.

1605286466001 is a deficient number, since it is larger than the sum of its proper divisors (728674161816).

1605286466001 is an frugal number, since it uses more digits than its factorization.

1605286466001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1605286466001 in words is "one trillion, six hundred five billion, two hundred eighty-six million, four hundred sixty-six thousand, one".