Search a number
-
+
2551511201 is a prime number
BaseRepresentation
bin1001100000010100…
…1111100010100001
320120211010012100212
42120011033202201
520211141324301
61101103423505
7120141326111
oct23005174241
96524105325
102551511201
11109a297148
125b25b4b95
133187c6655
141a2c1d041
15ee0034bb
hex9814f8a1

2551511201 has 2 divisors, whose sum is σ = 2551511202. Its totient is φ = 2551511200.

The previous prime is 2551511177. The next prime is 2551511297. The reversal of 2551511201 is 1021151552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2320926976 + 230584225 = 48176^2 + 15185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2551511201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2551510201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1275755600 + 1275755601.

It is an arithmetic number, because the mean of its divisors is an integer number (1275755601).

Almost surely, 22551511201 is an apocalyptic number.

It is an amenable number.

2551511201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551511201 is an equidigital number, since it uses as much as digits as its factorization.

2551511201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 500, while the sum is 23.

The square root of 2551511201 is about 50512.4855951477. The cubic root of 2551511201 is about 1366.4670369198.

Adding to 2551511201 its reverse (1021151552), we get a palindrome (3572662753).

The spelling of 2551511201 in words is "two billion, five hundred fifty-one million, five hundred eleven thousand, two hundred one".