10015961 has 2 divisors, whose sum is σ = 10015962. Its totient is φ = 10015960.

The previous prime is 10015939. The next prime is 10015963. The reversal of 10015961 is 16951001.

10015961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6405961 + 3610000 = 2531^2 + 1900^2 .

It is a cyclic number.

It is not a de Polignac number, because 10015961 - 2¹⁰ = 10014937 is a prime.

It is a Sophie Germain prime.

Together with 10015963, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10015963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5007980 + 5007981.

It is an arithmetic number, because the mean of its divisors is an integer number (5007981).

Almost surely, 2^10015961 is an apocalyptic number.

It is an amenable number.

10015961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10015961 is an equidigital number, since it uses as much as digits as its factorization.

10015961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 10015961 is about 3164.8003096562. The cubic root of 10015961 is about 215.5580311809.

Adding to 10015961 its reverse (16951001), we get a palindrome (26966962).

It can be divided in two parts, 100 and 15961, that added together give a palindrome (16061).

The spelling of 10015961 in words is "ten million, fifteen thousand, nine hundred sixty-one".