1059541561 has 8 divisors (see below), whose sum is σ = 1141416584. Its totient is φ = 977719680.

The previous prime is 1059541547. The next prime is 1059541577. The reversal of 1059541561 is 1651459501.

1059541561 is a nontrivial binomial coefficient, being equal to C(46034, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 30735936 + 1028805625 = 5544^2 + 32075^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1059541561 - 2¹¹ = 1059539513 is a prime.

It is a super-2 number, since 2×1059541561² = 2245256638972633442, which contains 22 as substring.

It is a deceptive number, since it divides R_1059541560.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1059541561.

It is not an unprimeable number, because it can be changed into a prime (1059541501) 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 7 ways as a sum of consecutive naturals, for example, 34525 + ... + 57541.

It is an arithmetic number, because the mean of its divisors is an integer number (142677073).

Almost surely, 2^1059541561 is an apocalyptic number.

1059541561 is the 46033-rd triangular number and also the 23017-th hexagonal number.

1059541561 is the 15345-th centered nonagonal number.

It is an amenable number.

1059541561 is a deficient number, since it is larger than the sum of its proper divisors (81875023).

1059541561 is a wasteful number, since it uses less digits than its factorization.

1059541561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26571.

The product of its (nonzero) digits is 27000, while the sum is 37.

The square root of 1059541561 is about 32550.6000098308. The cubic root of 1059541561 is about 1019.4658105715.

The spelling of 1059541561 in words is "one billion, fifty-nine million, five hundred forty-one thousand, five hundred sixty-one".