1305435401361 has 48 divisors (see below), whose sum is σ = 2327661108864. Its totient is φ = 686537897472.

The previous prime is 1305435401357. The next prime is 1305435401371. The reversal of 1305435401361 is 1631045345031.

1305435401361 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 43 + 540 + 13 + 61 = 666.

It is not a de Polignac number, because 1305435401361 - 2² = 1305435401357 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1305435401371) 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, 2088891 + ... + 2640896.

It is an arithmetic number, because the mean of its divisors is an integer number (48492939768).

Almost surely, 2^{1305435401361} is an apocalyptic number.

It is an amenable number.

1305435401361 is a deficient number, since it is larger than the sum of its proper divisors (1022225707503).

1305435401361 is a wasteful number, since it uses less digits than its factorization.

1305435401361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730150 (or 4730147 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

It can be divided in two parts, 130543 and 5401361, that added together give a square (5531904 = 2352²).

The spelling of 1305435401361 in words is "one trillion, three hundred five billion, four hundred thirty-five million, four hundred one thousand, three hundred sixty-one".