1461606042961 has 27 divisors (see below), whose sum is σ = 1538635033179. Its totient is φ = 1388379999600.

The previous prime is 1461606042931. The next prime is 1461606042971. The reversal of 1461606042961 is 1692406061641.

The square root of 1461606042961 is 1208969.

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

It can be written as a sum of positive squares in only one way, i.e., 1160534352961 + 301071690000 = 1077281^2 + 548700^2 .

It is not a de Polignac number, because 1461606042961 - 2¹¹ = 1461606040913 is a prime.

It is a super-2 number, since 2×1461606042961² (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 (1461606042931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2211203971 + ... + 2211204631.

Almost surely, 2^{1461606042961} is an apocalyptic number.

1461606042961 is the 1208969-th square number.

1461606042961 is the 604485-th centered octagonal number.

It is an amenable number.

1461606042961 is a deficient number, since it is larger than the sum of its proper divisors (77028990218).

1461606042961 is an frugal number, since it uses more digits than its factorization.

1461606042961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 1461606042961 in words is "one trillion, four hundred sixty-one billion, six hundred six million, forty-two thousand, nine hundred sixty-one".