1305512051311 has 16 divisors (see below), whose sum is σ = 1414483156800. Its totient is φ = 1197763273728.

The previous prime is 1305512051303. The next prime is 1305512051329. The reversal of 1305512051311 is 1131502155031.

It is a cyclic number.

It is not a de Polignac number, because 1305512051311 - 2³ = 1305512051303 is a prime.

It is a super-2 number, since 2×1305512051311² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1305512051311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305512091311) 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 15 ways as a sum of consecutive naturals, for example, 33259645 + ... + 33298873.

It is an arithmetic number, because the mean of its divisors is an integer number (88405197300).

Almost surely, 2^{1305512051311} is an apocalyptic number.

1305512051311 is a deficient number, since it is larger than the sum of its proper divisors (108971105489).

1305512051311 is a wasteful number, since it uses less digits than its factorization.

1305512051311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54738.

The product of its (nonzero) digits is 2250, while the sum is 28.

The spelling of 1305512051311 in words is "one trillion, three hundred five billion, five hundred twelve million, fifty-one thousand, three hundred eleven".