722657052001 has 32 divisors (see below), whose sum is σ = 784411954848. Its totient is φ = 663205969920.

The previous prime is 722657051971. The next prime is 722657052101. The reversal of 722657052001 is 100250756227.

It can be written as a sum of positive squares in 16 ways, for example, as 258145286400 + 464511765601 = 508080^2 + 681551^2 .

It is a cyclic number.

It is not a de Polignac number, because 722657052001 - 2⁵ = 722657051969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (722657052101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347263281 + ... + 347265361.

It is an arithmetic number, because the mean of its divisors is an integer number (24512873589).

Almost surely, 2^722657052001 is an apocalyptic number.

It is an amenable number.

722657052001 is a deficient number, since it is larger than the sum of its proper divisors (61754902847).

722657052001 is a wasteful number, since it uses less digits than its factorization.

722657052001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341.

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 722657052001 in words is "seven hundred twenty-two billion, six hundred fifty-seven million, fifty-two thousand, one".