2001314961 has 12 divisors (see below), whose sum is σ = 2920591492. Its totient is φ = 1320454656.

The previous prime is 2001314951. The next prime is 2001314971. The reversal of 2001314961 is 1694131002.

It is an interprime number because it is at equal distance from previous prime (2001314951) and next prime (2001314971).

It can be written as a sum of positive squares in 2 ways, for example, as 1540955025 + 460359936 = 39255^2 + 21456^2 .

It is not a de Polignac number, because 2001314961 - 2⁹ = 2001314449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001314921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1145356 + ... + 1147101.

Almost surely, 2^2001314961 is an apocalyptic number.

It is an amenable number.

2001314961 is a deficient number, since it is larger than the sum of its proper divisors (919276531).

2001314961 is a wasteful number, since it uses less digits than its factorization.

2001314961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292560 (or 2292557 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2001314961 is about 44736.0588451866. The cubic root of 2001314961 is about 1260.1971139088.

Adding to 2001314961 its reverse (1694131002), we get a palindrome (3695445963).

The spelling of 2001314961 in words is "two billion, one million, three hundred fourteen thousand, nine hundred sixty-one".