640210417313 has 2 divisors, whose sum is σ = 640210417314. Its totient is φ = 640210417312.

The previous prime is 640210417291. The next prime is 640210417339. The reversal of 640210417313 is 313714012046.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 415242338449 + 224968078864 = 644393^2 + 474308^2 .

It is a cyclic number.

It is not a de Polignac number, because 640210417313 - 2²⁰ = 640209368737 is a prime.

It is a super-3 number, since 3×640210417313³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 640210417313.

It is not a weakly prime, because it can be changed into another prime (640210417373) 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 as a sum of consecutive naturals, namely, 320105208656 + 320105208657.

It is an arithmetic number, because the mean of its divisors is an integer number (320105208657).

Almost surely, 2^640210417313 is an apocalyptic number.

It is an amenable number.

640210417313 is a deficient number, since it is larger than the sum of its proper divisors (1).

640210417313 is an equidigital number, since it uses as much as digits as its factorization.

640210417313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 640210417313 its reverse (313714012046), we get a palindrome (953924429359).

The spelling of 640210417313 in words is "six hundred forty billion, two hundred ten million, four hundred seventeen thousand, three hundred thirteen".