1315680114961 has 27 divisors (see below), whose sum is σ = 1373934541833. Its totient is φ = 1259852969160.

The previous prime is 1315680114953. The next prime is 1315680115027. The reversal of 1315680114961 is 1694110865131.

The square root of 1315680114961 is 1147031.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1315680114961 - 2³ = 1315680114953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1315680114901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5795947530 + ... + 5795947756.

Almost surely, 2^{1315680114961} is an apocalyptic number.

1315680114961 is the 1147031-st square number.

1315680114961 is the 573516-th centered octagonal number.

It is an amenable number.

1315680114961 is a deficient number, since it is larger than the sum of its proper divisors (58254426872).

1315680114961 is an frugal number, since it uses more digits than its factorization.

1315680114961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 1315680114961 in words is "one trillion, three hundred fifteen billion, six hundred eighty million, one hundred fourteen thousand, nine hundred sixty-one".