1607011705601 has 2 divisors, whose sum is σ = 1607011705602. Its totient is φ = 1607011705600.

The previous prime is 1607011705589. The next prime is 1607011705633. The reversal of 1607011705601 is 1065071107061.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1402708609600 + 204303096001 = 1184360^2 + 451999^2 .

It is a cyclic number.

It is not a de Polignac number, because 1607011705601 - 2¹⁰ = 1607011704577 is a prime.

It is not a weakly prime, because it can be changed into another prime (1607011705301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 803505852800 + 803505852801.

It is an arithmetic number, because the mean of its divisors is an integer number (803505852801).

Almost surely, 2^{1607011705601} is an apocalyptic number.

It is an amenable number.

1607011705601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1607011705601 is an equidigital number, since it uses as much as digits as its factorization.

1607011705601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 35.

The spelling of 1607011705601 in words is "one trillion, six hundred seven billion, eleven million, seven hundred five thousand, six hundred one".