Search a number
-
+
251716472136131 is a prime number
BaseRepresentation
bin111001001110111101001110…
…111001111110000111000011
31020000020212012201221100202012
4321032331032321332013003
5230443110313331324011
62251204541221443135
7104006625556335002
oct7116751671760703
91200225181840665
10251716472136131
11732283a1316672
12242944092704ab
13aa5b9b8c4b022
1446231dc4ccc39
151e17aca6c5a8b
hexe4ef4ee7e1c3

251716472136131 has 2 divisors, whose sum is σ = 251716472136132. Its totient is φ = 251716472136130.

The previous prime is 251716472136097. The next prime is 251716472136179. The reversal of 251716472136131 is 131631274617152.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-251716472136131 is a prime.

It is a super-2 number, since 2×2517164721361312 (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 251716472136131.

It is not a weakly prime, because it can be changed into another prime (251716472136331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125858236068065 + 125858236068066.

It is an arithmetic number, because the mean of its divisors is an integer number (125858236068066).

Almost surely, 2251716472136131 is an apocalyptic number.

251716472136131 is a deficient number, since it is larger than the sum of its proper divisors (1).

251716472136131 is an equidigital number, since it uses as much as digits as its factorization.

251716472136131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1270080, while the sum is 50.

The spelling of 251716472136131 in words is "two hundred fifty-one trillion, seven hundred sixteen billion, four hundred seventy-two million, one hundred thirty-six thousand, one hundred thirty-one".