488293756201 has 16 divisors (see below), whose sum is σ = 516566937600. Its totient is φ = 460281690000.

The previous prime is 488293756189. The next prime is 488293756213. The reversal of 488293756201 is 102657392884.

It is an interprime number because it is at equal distance from previous prime (488293756189) and next prime (488293756213).

It is a cyclic number.

It is not a de Polignac number, because 488293756201 - 2⁹ = 488293755689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (488293756231) 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 15 ways as a sum of consecutive naturals, for example, 4674420 + ... + 4777738.

It is an arithmetic number, because the mean of its divisors is an integer number (32285433600).

It is a 1-persistent number, because it is pandigital, but 2⋅488293756201 = 976587512402 is not.

Almost surely, 2^488293756201 is an apocalyptic number.

It is an amenable number.

488293756201 is a deficient number, since it is larger than the sum of its proper divisors (28273181399).

488293756201 is a wasteful number, since it uses less digits than its factorization.

488293756201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104580.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 488293756201 in words is "four hundred eighty-eight billion, two hundred ninety-three million, seven hundred fifty-six thousand, two hundred one".