1521381246961 has 16 divisors (see below), whose sum is σ = 1575378156240. Its totient is φ = 1467487436800.

The previous prime is 1521381246941. The next prime is 1521381246967. The reversal of 1521381246961 is 1696421831251.

It can be written as a sum of positive squares in 8 ways, for example, as 963036046336 + 558345200625 = 981344^2 + 747225^2 .

It is a cyclic number.

It is not a de Polignac number, because 1521381246961 - 2¹¹ = 1521381244913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1521381246967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243145545 + ... + 243151801.

It is an arithmetic number, because the mean of its divisors is an integer number (98461134765).

Almost surely, 2^{1521381246961} is an apocalyptic number.

It is an amenable number.

1521381246961 is a deficient number, since it is larger than the sum of its proper divisors (53996909279).

1521381246961 is a wasteful number, since it uses less digits than its factorization.

1521381246961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13124.

The product of its digits is 622080, while the sum is 49.

The spelling of 1521381246961 in words is "one trillion, five hundred twenty-one billion, three hundred eighty-one million, two hundred forty-six thousand, nine hundred sixty-one".