1009970730729 has 9 divisors (see below), whose sum is σ = 1458850965949. Its totient is φ = 673311810540.

The previous prime is 1009970730707. The next prime is 1009970730781. The reversal of 1009970730729 is 9270370799001.

It is a happy number.

The square root of 1009970730729 is 1004973.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1009970730729 - 2¹⁵ = 1009970697961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1009970730529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2847424 + ... + 3182414.

Almost surely, 2^{1009970730729} is an apocalyptic number.

1009970730729 is the 1004973-rd square number.

1009970730729 is the 502487-th centered octagonal number.

It is an amenable number.

1009970730729 is a deficient number, since it is larger than the sum of its proper divisors (448880235220).

1009970730729 is an frugal number, since it uses more digits than its factorization.

1009970730729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669988 (or 334994 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The spelling of 1009970730729 in words is "one trillion, nine billion, nine hundred seventy million, seven hundred thirty thousand, seven hundred twenty-nine".