Search a number
-
+
5151510101 is a prime number
BaseRepresentation
bin1001100110000110…
…11100111001010101
3111022000110211100102
410303003130321111
541022241310401
62211102423445
7241442053613
oct46303347125
914260424312
105151510101
112203990871
12bb9291b85
13641368c3a
1436c2606b3
152023d356b
hex1330dce55

5151510101 has 2 divisors, whose sum is σ = 5151510102. Its totient is φ = 5151510100.

The previous prime is 5151510061. The next prime is 5151510103. The reversal of 5151510101 is 1010151515.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5151507076 + 3025 = 71774^2 + 55^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5151510101 is a prime.

Together with 5151510103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5151510103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2575755050 + 2575755051.

It is an arithmetic number, because the mean of its divisors is an integer number (2575755051).

Almost surely, 25151510101 is an apocalyptic number.

It is an amenable number.

5151510101 is a deficient number, since it is larger than the sum of its proper divisors (1).

5151510101 is an equidigital number, since it uses as much as digits as its factorization.

5151510101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125, while the sum is 20.

The square root of 5151510101 is about 71774.0210730874. The cubic root of 5151510101 is about 1727.0762761911.

Adding to 5151510101 its reverse (1010151515), we get a palindrome (6161661616).

It can be divided in two parts, 51515 and 10101, that added together give a palindrome (61616).

The spelling of 5151510101 in words is "five billion, one hundred fifty-one million, five hundred ten thousand, one hundred one".