Search a number
-
+
315257351319613 is a prime number
BaseRepresentation
bin100011110101110011001001…
…0011100000011000000111101
31112100020022022212012112220201
41013223212102130003000331
5312310134023414211423
63034255121113443501
7123255410025050143
oct10753462234030075
91470208285175821
10315257351319613
11914a598a0944aa
122b436ba1110591
13106ba843715131
1457bc7741ab593
15266a8793a12ad
hex11eb99270303d

315257351319613 has 2 divisors, whose sum is σ = 315257351319614. Its totient is φ = 315257351319612.

The previous prime is 315257351319569. The next prime is 315257351319619. The reversal of 315257351319613 is 316913153752513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311674061329849 + 3583289989764 = 17654293^2 + 1892958^2 .

It is an emirp because it is prime and its reverse (316913153752513) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 315257351319613 - 29 = 315257351319101 is a prime.

It is a super-2 number, since 2×3152573513196132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (315257351319619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157628675659806 + 157628675659807.

It is an arithmetic number, because the mean of its divisors is an integer number (157628675659807).

Almost surely, 2315257351319613 is an apocalyptic number.

It is an amenable number.

315257351319613 is a deficient number, since it is larger than the sum of its proper divisors (1).

315257351319613 is an equidigital number, since it uses as much as digits as its factorization.

315257351319613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7654500, while the sum is 55.

The spelling of 315257351319613 in words is "three hundred fifteen trillion, two hundred fifty-seven billion, three hundred fifty-one million, three hundred nineteen thousand, six hundred thirteen".