1304527126661 has 16 divisors (see below), whose sum is σ = 1448639114496. Its totient is φ = 1164727080000.

The previous prime is 1304527126649. The next prime is 1304527126673. The reversal of 1304527126661 is 1666217254031.

It is an interprime number because it is at equal distance from previous prime (1304527126649) and next prime (1304527126673).

It is a de Polignac number, because none of the positive numbers 2^k-1304527126661 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304527126621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027085 + ... + 1914146.

It is an arithmetic number, because the mean of its divisors is an integer number (90539944656).

Almost surely, 2^{1304527126661} is an apocalyptic number.

1304527126661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1304527126661 is a deficient number, since it is larger than the sum of its proper divisors (144111987835).

1304527126661 is a wasteful number, since it uses less digits than its factorization.

1304527126661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941964.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 1304527126661 in words is "one trillion, three hundred four billion, five hundred twenty-seven million, one hundred twenty-six thousand, six hundred sixty-one".