1306032615441 has 48 divisors (see below), whose sum is σ = 1977881490000. Its totient is φ = 829361111040.

The previous prime is 1306032615409. The next prime is 1306032615463. The reversal of 1306032615441 is 1445162306031.

1306032615441 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 0 + 32 + 615 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1420913025 + 1304611702416 = 37695^2 + 1142196^2 .

It is not a de Polignac number, because 1306032615441 - 2⁵ = 1306032615409 is a prime.

It is a super-3 number, since 3×1306032615441³ (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1306032615396 and 1306032615405.

It is not an unprimeable number, because it can be changed into a prime (1306032615241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10367211 + ... + 10492431.

It is an arithmetic number, because the mean of its divisors is an integer number (41205864375).

Almost surely, 2^{1306032615441} is an apocalyptic number.

It is an amenable number.

1306032615441 is a deficient number, since it is larger than the sum of its proper divisors (671848874559).

1306032615441 is a wasteful number, since it uses less digits than its factorization.

1306032615441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125794 (or 125791 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1306032615441 in words is "one trillion, three hundred six billion, thirty-two million, six hundred fifteen thousand, four hundred forty-one".