10081713577 has 24 divisors (see below), whose sum is σ = 11247496512. Its totient is φ = 8982951840.

The previous prime is 10081713547. The next prime is 10081713589. The reversal of 10081713577 is 77531718001.

It is not a de Polignac number, because 10081713577 - 2²⁷ = 9947495849 is a prime.

It is a super-2 number, since 2×10081713577² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10081713547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6533068 + ... + 6534610.

It is an arithmetic number, because the mean of its divisors is an integer number (468645688).

Almost surely, 2^10081713577 is an apocalyptic number.

It is an amenable number.

10081713577 is a deficient number, since it is larger than the sum of its proper divisors (1165782935).

10081713577 is a wasteful number, since it uses less digits than its factorization.

10081713577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 40.

The spelling of 10081713577 in words is "ten billion, eighty-one million, seven hundred thirteen thousand, five hundred seventy-seven".