1010907582721 has 3 divisors (see below), whose sum is σ = 1010908588161. Its totient is φ = 1010906577282.

The previous prime is 1010907582719. The next prime is 1010907582803. The reversal of 1010907582721 is 1272857090101.

The square root of 1010907582721 is 1005439.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 1010907582721 - 2¹ = 1010907582719 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010907582221) 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 2 ways as a sum of consecutive naturals, for example, 502720 + ... + 1508158.

It is an arithmetic number, because the mean of its divisors is an integer number (336969529387).

Almost surely, 2^{1010907582721} is an apocalyptic number.

1010907582721 is the 1005439-th square number.

1010907582721 is the 502720-th centered octagonal number.

It is an amenable number.

1010907582721 is a deficient number, since it is larger than the sum of its proper divisors (1005440).

1010907582721 is an frugal number, since it uses more digits than its factorization.

1010907582721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010878 (or 1005439 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 43.

The spelling of 1010907582721 in words is "one trillion, ten billion, nine hundred seven million, five hundred eighty-two thousand, seven hundred twenty-one".