1301516605057 has 32 divisors (see below), whose sum is σ = 1407118233600. Its totient is φ = 1201254582528.

The previous prime is 1301516605027. The next prime is 1301516605091. The reversal of 1301516605057 is 7505066151031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1301516605057 - 2¹⁵ = 1301516572289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1301516605027) 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 31 ways as a sum of consecutive naturals, for example, 27510619 + ... + 27557887.

It is an arithmetic number, because the mean of its divisors is an integer number (43972444800).

Almost surely, 2^{1301516605057} is an apocalyptic number.

It is an amenable number.

1301516605057 is a deficient number, since it is larger than the sum of its proper divisors (105601628543).

1301516605057 is a wasteful number, since it uses less digits than its factorization.

1301516605057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47785.

The product of its (nonzero) digits is 94500, while the sum is 40.

The spelling of 1301516605057 in words is "one trillion, three hundred one billion, five hundred sixteen million, six hundred five thousand, fifty-seven".