1305435330061 has 8 divisors (see below), whose sum is σ = 1382291245944. Its totient is φ = 1228586703360.

The previous prime is 1305435329927. The next prime is 1305435330091. The reversal of 1305435330061 is 1600335345031.

It can be written as a sum of positive squares in 4 ways, for example, as 620308836 + 1304815021225 = 24906^2 + 1142285^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-1305435330061 is a prime.

It is a super-2 number, since 2×1305435330061² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1305435329999 and 1305435330026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305435330091) 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 7 ways as a sum of consecutive naturals, for example, 1451410 + ... + 2171971.

It is an arithmetic number, because the mean of its divisors is an integer number (172786405743).

Almost surely, 2^{1305435330061} is an apocalyptic number.

It is an amenable number.

1305435330061 is a deficient number, since it is larger than the sum of its proper divisors (76855915883).

1305435330061 is a wasteful number, since it uses less digits than its factorization.

1305435330061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644591.

The product of its (nonzero) digits is 48600, while the sum is 34.

The spelling of 1305435330061 in words is "one trillion, three hundred five billion, four hundred thirty-five million, three hundred thirty thousand, sixty-one".