1305445250601 has 24 divisors (see below), whose sum is σ = 1969978874760. Its totient is φ = 831966912000.

The previous prime is 1305445250569. The next prime is 1305445250609. The reversal of 1305445250601 is 1060525445031.

1305445250601 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 4 + 45 + 2 + 5 + 0 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 774039242025 + 531406008576 = 879795^2 + 728976^2 .

It is not a de Polignac number, because 1305445250601 - 2⁵ = 1305445250569 is a prime.

It is a super-2 number, since 2×1305445250601² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1305445250609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24734560 + ... + 24787281.

It is an arithmetic number, because the mean of its divisors is an integer number (82082453115).

Almost surely, 2^{1305445250601} is an apocalyptic number.

It is an amenable number.

1305445250601 is a deficient number, since it is larger than the sum of its proper divisors (664533624159).

1305445250601 is a wasteful number, since it uses less digits than its factorization.

1305445250601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49521977 (or 49521974 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1305445250601 in words is "one trillion, three hundred five billion, four hundred forty-five million, two hundred fifty thousand, six hundred one".