Search a number
-
+
251551146424549 is a prime number
BaseRepresentation
bin111001001100100011010000…
…101110011011100011100101
31012222200001110220110000220011
4321030203100232123203211
5230432403221441041144
62251001000142010221
7103661653624066606
oct7114432056334345
91188601426400804
10251551146424549
1173174273260584
1224268369b76971
13aa4922c52199a
1446191d756ddad
151e136513e4a34
hexe4c8d0b9b8e5

251551146424549 has 2 divisors, whose sum is σ = 251551146424550. Its totient is φ = 251551146424548.

The previous prime is 251551146424531. The next prime is 251551146424579. The reversal of 251551146424549 is 945424641155152.

251551146424549 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246568349225025 + 4982797199524 = 15702495^2 + 2232218^2 .

It is a cyclic number.

It is not a de Polignac number, because 251551146424549 - 27 = 251551146424421 is a prime.

It is a super-2 number, since 2×2515511464245492 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 251551146424493 and 251551146424502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251551146424579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125775573212274 + 125775573212275.

It is an arithmetic number, because the mean of its divisors is an integer number (125775573212275).

Almost surely, 2251551146424549 is an apocalyptic number.

It is an amenable number.

251551146424549 is a deficient number, since it is larger than the sum of its proper divisors (1).

251551146424549 is an equidigital number, since it uses as much as digits as its factorization.

251551146424549 is an evil number, because the sum of its binary digits is even.

The product of its digits is 34560000, while the sum is 58.

The spelling of 251551146424549 in words is "two hundred fifty-one trillion, five hundred fifty-one billion, one hundred forty-six million, four hundred twenty-four thousand, five hundred forty-nine".