1000261085328 has 50 divisors (see below), whose sum is σ = 2895045783894. Its totient is φ = 333420361344.

The previous prime is 1000261085287. The next prime is 1000261085347. The reversal of 1000261085328 is 8235801620001.

It is a happy number.

1000261085328 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 610 + 8 + 5 + 32 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 993833535744 + 6427549584 = 996912^2 + 80172^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1000261085292 and 1000261085301.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 385901901 + ... + 385904492.

Almost surely, 2^{1000261085328} is an apocalyptic number.

1000261085328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1000261085328 is an abundant number, since it is smaller than the sum of its proper divisors (1894784698566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000261085328 is an equidigital number, since it uses as much as digits as its factorization.

1000261085328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771806413 (or 771806398 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1000261085328 in words is "one trillion, two hundred sixty-one million, eighty-five thousand, three hundred twenty-eight".