9785265381 has 12 divisors (see below), whose sum is σ = 14143012780. Its totient is φ = 6519476160.

The previous prime is 9785265361. The next prime is 9785265403. The reversal of 9785265381 is 1835625879.

9785265381 is a `hidden beast` number, since 9 + 7 + 85 + 26 + 538 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2940350625 + 6844914756 = 54225^2 + 82734^2 .

It is not a de Polignac number, because 9785265381 - 2⁵ = 9785265349 is a prime.

It is a super-2 number, since 2×9785265381² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9785265341) 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 11 ways as a sum of consecutive naturals, for example, 320776 + ... + 349953.

Almost surely, 2^9785265381 is an apocalyptic number.

It is an amenable number.

9785265381 is a deficient number, since it is larger than the sum of its proper divisors (4357747399).

9785265381 is a wasteful number, since it uses less digits than its factorization.

9785265381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672356 (or 672353 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 9785265381 is about 98920.5003070648. The cubic root of 9785265381 is about 2138.9019158267.

The spelling of 9785265381 in words is "nine billion, seven hundred eighty-five million, two hundred sixty-five thousand, three hundred eighty-one".