9050657081761 has 27 divisors (see below), whose sum is σ = 9435632189529. Its totient is φ = 8681032223808.

The previous prime is 9050657081749. The next prime is 9050657081773. The reversal of 9050657081761 is 1671807560509.

It is a happy number.

The square root of 9050657081761 is 3008431.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (9050657081749) and next prime (9050657081773).

It can be written as a sum of positive squares in 4 ways, for example, as 1595813195025 + 7454843886736 = 1263255^2 + 2730356^2 .

It is not a de Polignac number, because 9050657081761 - 2⁵ = 9050657081729 is a prime.

It is a super-2 number, since 2×9050657081761² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9050657081701) 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 26 ways as a sum of consecutive naturals, for example, 19804501045 + ... + 19804501501.

Almost surely, 2^{9050657081761} is an apocalyptic number.

9050657081761 is the 3008431-st square number.

9050657081761 is the 1504216-th centered octagonal number.

It is an amenable number.

9050657081761 is a deficient number, since it is larger than the sum of its proper divisors (384975107768).

9050657081761 is an frugal number, since it uses more digits than its factorization.

9050657081761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 55.

The spelling of 9050657081761 in words is "nine trillion, fifty billion, six hundred fifty-seven million, eighty-one thousand, seven hundred sixty-one".