1006709215801 has 3 divisors (see below), whose sum is σ = 1006710219151. Its totient is φ = 1006708212452.

The previous prime is 1006709215793. The next prime is 1006709215817. The reversal of 1006709215801 is 1085129076001.

It is a happy number.

The square root of 1006709215801 is 1003349.

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 can be written as a sum of positive squares in only one way, i.e., 878158284201 + 128550931600 = 937101^2 + 358540^2 .

It is not a de Polignac number, because 1006709215801 - 2³ = 1006709215793 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006709215891) 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, 501675 + ... + 1505023.

Almost surely, 2^{1006709215801} is an apocalyptic number.

1006709215801 is the 1003349-th square number.

1006709215801 is the 501675-th centered octagonal number.

It is an amenable number.

1006709215801 is a deficient number, since it is larger than the sum of its proper divisors (1003350).

1006709215801 is an frugal number, since it uses more digits than its factorization.

1006709215801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006698 (or 1003349 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 40.

The spelling of 1006709215801 in words is "one trillion, six billion, seven hundred nine million, two hundred fifteen thousand, eight hundred one".