1596561129601 has 27 divisors (see below), whose sum is σ = 1685469411913. Its totient is φ = 1512217836800.

The previous prime is 1596561129547. The next prime is 1596561129623. The reversal of 1596561129601 is 1069211656951.

The square root of 1596561129601 is 1263551.

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

It can be written as a sum of positive squares in 4 ways, for example, as 779026890625 + 817534238976 = 882625^2 + 904176^2 .

It is not a de Polignac number, because 1596561129601 - 2¹⁹ = 1596560605313 is a prime.

It is a super-2 number, since 2×1596561129601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1596561129101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3981449001 + ... + 3981449401.

Almost surely, 2^{1596561129601} is an apocalyptic number.

1596561129601 is the 1263551-st square number.

1596561129601 is the 631776-th centered octagonal number.

It is an amenable number.

1596561129601 is a deficient number, since it is larger than the sum of its proper divisors (88908282312).

1596561129601 is an frugal number, since it uses more digits than its factorization.

1596561129601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 52.

The spelling of 1596561129601 in words is "one trillion, five hundred ninety-six billion, five hundred sixty-one million, one hundred twenty-nine thousand, six hundred one".