10261641713 has 8 divisors (see below), whose sum is σ = 10368800616. Its totient is φ = 10154592000.

The previous prime is 10261641697. The next prime is 10261641749. The reversal of 10261641713 is 31714616201.

10261641713 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7057176049 + 3204465664 = 84007^2 + 56608^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10261641713 - 2⁴ = 10261641697 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10261641713.

It is not an unprimeable number, because it can be changed into a prime (10261641763) 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 7 ways as a sum of consecutive naturals, for example, 168953 + ... + 221513.

It is an arithmetic number, because the mean of its divisors is an integer number (1296100077).

Almost surely, 2^10261641713 is an apocalyptic number.

It is an amenable number.

10261641713 is a deficient number, since it is larger than the sum of its proper divisors (107158903).

10261641713 is a wasteful number, since it uses less digits than its factorization.

10261641713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54595.

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 10261641713 in words is "ten billion, two hundred sixty-one million, six hundred forty-one thousand, seven hundred thirteen".