6658723201 has 9 divisors (see below), whose sum is σ = 7211482281. Its totient is φ = 6145534512.

The previous prime is 6658723199. The next prime is 6658723219. The reversal of 6658723201 is 1023278566.

The square root of 6658723201 is 81601.

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

It can be written as a sum of positive squares in 4 ways, for example, as 386083201 + 6272640000 = 19649^2 + 79200^2 .

It is not a de Polignac number, because 6658723201 - 2¹ = 6658723199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6658723601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1057675 + ... + 1063951.

It is an arithmetic number, because the mean of its divisors is an integer number (801275809).

Almost surely, 2^6658723201 is an apocalyptic number.

6658723201 is the 81601-st square number.

6658723201 is the 40801-st centered octagonal number.

It is an amenable number.

6658723201 is a deficient number, since it is larger than the sum of its proper divisors (552759080).

6658723201 is an frugal number, since it uses more digits than its factorization.

6658723201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12580 (or 6290 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The cubic root of 6658723201 is about 1881.3242519362.

The spelling of 6658723201 in words is "six billion, six hundred fifty-eight million, seven hundred twenty-three thousand, two hundred one".