1081028641 has 45 divisors (see below), whose sum is σ = 1409292339. Its totient is φ = 828550800.

The previous prime is 1081028639. The next prime is 1081028687. The reversal of 1081028641 is 1468201801.

The square root of 1081028641 is 32879.

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., 35153041 + 1045875600 = 5929^2 + 32340^2 .

It is not a de Polignac number, because 1081028641 - 2¹ = 1081028639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1081028141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17721751 + ... + 17721811.

Almost surely, 2^1081028641 is an apocalyptic number.

1081028641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1081028641 is the 32879-th square number.

1081028641 is the 16440-th centered octagonal number.

It is an amenable number.

1081028641 is a deficient number, since it is larger than the sum of its proper divisors (328263698).

1081028641 is an frugal number, since it uses more digits than its factorization.

1081028641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The cubic root of 1081028641 is about 1026.3111963816.

The spelling of 1081028641 in words is "one billion, eighty-one million, twenty-eight thousand, six hundred forty-one".