1009504477081 has 9 divisors (see below), whose sum is σ = 1043151795669. Its totient is φ = 976909674300.

The previous prime is 1009504477031. The next prime is 1009504477087. The reversal of 1009504477081 is 1807744059001.

It is a happy number.

The square root of 1009504477081 is 1004741.

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

It is not a de Polignac number, because 1009504477081 - 2²⁷ = 1009370259353 is a prime.

It is a super-2 number, since 2×1009504477081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009504477087) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31130766 + ... + 31163176.

Almost surely, 2^{1009504477081} is an apocalyptic number.

1009504477081 is the 1004741-st square number.

1009504477081 is the 502371-st centered octagonal number.

It is an amenable number.

1009504477081 is a deficient number, since it is larger than the sum of its proper divisors (33647318588).

1009504477081 is an frugal number, since it uses more digits than its factorization.

1009504477081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64884 (or 32442 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 1009504477081 in words is "one trillion, nine billion, five hundred four million, four hundred seventy-seven thousand, eighty-one".