1005246724001 has 4 divisors (see below), whose sum is σ = 1082573395092. Its totient is φ = 927920052912.

The previous prime is 1005246723983. The next prime is 1005246724003. The reversal of 1005246724001 is 1004276425001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 90926371600 + 914320352401 = 301540^2 + 956201^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005246724001 - 2⁶ = 1005246723937 is a prime.

It is a super-2 number, since 2×1005246724001² (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 (1005246724003) 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 3 ways as a sum of consecutive naturals, for example, 38663335526 + ... + 38663335551.

It is an arithmetic number, because the mean of its divisors is an integer number (270643348773).

Almost surely, 2^{1005246724001} is an apocalyptic number.

It is an amenable number.

1005246724001 is a deficient number, since it is larger than the sum of its proper divisors (77326671091).

1005246724001 is an equidigital number, since it uses as much as digits as its factorization.

1005246724001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77326671090.

The product of its (nonzero) digits is 13440, while the sum is 32.

Subtracting from 1005246724001 its reverse (1004276425001), we obtain a cube (970299000 = 990³).

The spelling of 1005246724001 in words is "one trillion, five billion, two hundred forty-six million, seven hundred twenty-four thousand, one".