10261731557 has 24 divisors (see below), whose sum is σ = 13030145280. Its totient is φ = 7991343360.

The previous prime is 10261731551. The next prime is 10261731583. The reversal of 10261731557 is 75513716201.

10261731557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10261731557 - 2²⁰ = 10260682981 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 10261731557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10261731551) 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 23 ways as a sum of consecutive naturals, for example, 1082444 + ... + 1091882.

It is an arithmetic number, because the mean of its divisors is an integer number (542922720).

Almost surely, 2^10261731557 is an apocalyptic number.

It is an amenable number.

10261731557 is a deficient number, since it is larger than the sum of its proper divisors (2768413723).

10261731557 is a wasteful number, since it uses less digits than its factorization.

10261731557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11481 (or 11474 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The spelling of 10261731557 in words is "ten billion, two hundred sixty-one million, seven hundred thirty-one thousand, five hundred fifty-seven".