616458952201 has 9 divisors (see below), whose sum is σ = 617866789653. Its totient is φ = 615054320640.

The previous prime is 616458952177. The next prime is 616458952217. The reversal of 616458952201 is 102259854616.

It is a happy number.

The square root of 616458952201 is 785149.

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 453732601 + 616005219600 = 21301^2 + 784860^2 .

It is not a de Polignac number, because 616458952201 - 2⁵ = 616458952169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (616458352201) 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 8 ways as a sum of consecutive naturals, for example, 603779071 + ... + 603780091.

It is an arithmetic number, because the mean of its divisors is an integer number (68651865517).

Almost surely, 2^616458952201 is an apocalyptic number.

616458952201 is the 785149-th square number.

616458952201 is the 392575-th centered octagonal number.

It is an amenable number.

616458952201 is a deficient number, since it is larger than the sum of its proper divisors (1407837452).

616458952201 is an frugal number, since it uses more digits than its factorization.

616458952201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 616458952201 by its sum of digits (49), we get a square (30206488657849 = 5496043²).

The spelling of 616458952201 in words is "six hundred sixteen billion, four hundred fifty-eight million, nine hundred fifty-two thousand, two hundred one".