1059291749961 has 9 divisors (see below), whose sum is σ = 1530092543239. Its totient is φ = 706192441536.

The previous prime is 1059291749959. The next prime is 1059291749969. The reversal of 1059291749961 is 1699471929501.

The square root of 1059291749961 is 1029219.

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

1059291749961 is a `hidden beast` number, since 1 + 0 + 59 + 2 + 91 + 7 + 499 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 821787575625 + 237504174336 = 906525^2 + 487344^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1059291749961 - 2¹ = 1059291749959 is a prime.

It is a super-2 number, since 2×1059291749961² (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 (1059291749969) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2916121 + ... + 3259193.

Almost surely, 2^{1059291749961} is an apocalyptic number.

1059291749961 is the 1029219-th square number.

1059291749961 is the 514610-th centered octagonal number.

It is an amenable number.

1059291749961 is a deficient number, since it is larger than the sum of its proper divisors (470800793278).

1059291749961 is an frugal number, since it uses more digits than its factorization.

1059291749961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686152 (or 343076 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 63.

The spelling of 1059291749961 in words is "one trillion, fifty-nine billion, two hundred ninety-one million, seven hundred forty-nine thousand, nine hundred sixty-one".