Search a number
-
+
245652717715753 is a prime number
BaseRepresentation
bin110111110110101101111010…
…111110100100000100101001
31012012210011121021012200120011
4313312231322332210010221
5224144233231213401003
62230243144532131521
7102512552230234015
oct6766557276440451
91165704537180504
10245652717715753
11712aa806aa75a7
1223675186166ba1
13a70bc4b39503a
144493925381545
151d5eece5c446d
hexdf6b7afa4129

245652717715753 has 2 divisors, whose sum is σ = 245652717715754. Its totient is φ = 245652717715752.

The previous prime is 245652717715751. The next prime is 245652717715759. The reversal of 245652717715753 is 357517717256542.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238158877165609 + 7493840550144 = 15432397^2 + 2737488^2 .

It is a cyclic number.

It is not a de Polignac number, because 245652717715753 - 21 = 245652717715751 is a prime.

It is a super-3 number, since 3×2456527177157533 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 245652717715751, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (245652717715751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 122826358857876 + 122826358857877.

It is an arithmetic number, because the mean of its divisors is an integer number (122826358857877).

Almost surely, 2245652717715753 is an apocalyptic number.

It is an amenable number.

245652717715753 is a deficient number, since it is larger than the sum of its proper divisors (1).

245652717715753 is an equidigital number, since it uses as much as digits as its factorization.

245652717715753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432180000, while the sum is 67.

The spelling of 245652717715753 in words is "two hundred forty-five trillion, six hundred fifty-two billion, seven hundred seventeen million, seven hundred fifteen thousand, seven hundred fifty-three".