1259082128961 has 8 divisors (see below), whose sum is σ = 1865306857760. Its totient is φ = 839388085956.

The previous prime is 1259082128959. The next prime is 1259082129017. The reversal of 1259082128961 is 1698212809521.

1259082128961 is a `hidden beast` number, since 1 + 2 + 590 + 8 + 21 + 28 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 1259082128961 - 2¹ = 1259082128959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1259082128898 and 1259082128907.

It is not an unprimeable number, because it can be changed into a prime (1259082128561) 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, 23316335695 + ... + 23316335748.

It is an arithmetic number, because the mean of its divisors is an integer number (233163357220).

Almost surely, 2^{1259082128961} is an apocalyptic number.

It is an amenable number.

1259082128961 is a deficient number, since it is larger than the sum of its proper divisors (606224728799).

1259082128961 is an equidigital number, since it uses as much as digits as its factorization.

1259082128961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46632671452 (or 46632671446 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 1259082128961 in words is "one trillion, two hundred fifty-nine billion, eighty-two million, one hundred twenty-eight thousand, nine hundred sixty-one".