649597312865601 has 225 divisors, whose sum is σ = 1061235281825983. Its totient is φ = 395985435471360.

The previous prime is 649597312865587. The next prime is 649597312865623. The reversal of 649597312865601 is 106568213795946.

It is a happy number.

The square root of 649597312865601 is 25487199.

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

649597312865601 is a `hidden beast` number, since 6 + 4 + 9 + 5 + 9 + 7 + 3 + 1 + 2 + 8 + 6 + 5 + 601 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 307399110905601 + 342198201960000 = 17532801^2 + 18498600^2 .

It is not a de Polignac number, because 649597312865601 - 2⁵ = 649597312865569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 649597312865601.

It is not an unprimeable number, because it can be changed into a prime (649597312865651) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2717980388440 + ... + 2717980388678.

It is a 1-persistent number, because it is pandigital, but 2⋅649597312865601 = 1299194625731202 is not.

Almost surely, 2^{649597312865601} is an apocalyptic number.

649597312865601 is the 25487199-th square number.

649597312865601 is the 12743600-th centered octagonal number.

It is an amenable number.

649597312865601 is a deficient number, since it is larger than the sum of its proper divisors (411637968960382).

649597312865601 is an frugal number, since it uses more digits than its factorization.

649597312865601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 649597312865601 in words is "six hundred forty-nine trillion, five hundred ninety-seven billion, three hundred twelve million, eight hundred sixty-five thousand, six hundred one".