Search a number
-
+
2253005213 is a prime number
BaseRepresentation
bin1000011001001010…
…0010000110011101
312211000102112010112
42012102202012131
514103232131323
61011321415405
7106555141214
oct20622420635
95730375115
102253005213
11a56843188
1252a63a565
1329b9cc8a4
1417531807b
15d2bdc178
hex864a219d

2253005213 has 2 divisors, whose sum is σ = 2253005214. Its totient is φ = 2253005212.

The previous prime is 2253005201. The next prime is 2253005239. The reversal of 2253005213 is 3125003522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2186778169 + 66227044 = 46763^2 + 8138^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2253005213 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2253005243) 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, 1126502606 + 1126502607.

It is an arithmetic number, because the mean of its divisors is an integer number (1126502607).

Almost surely, 22253005213 is an apocalyptic number.

It is an amenable number.

2253005213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2253005213 is an equidigital number, since it uses as much as digits as its factorization.

2253005213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 2253005213 is about 47465.8320584397. The cubic root of 2253005213 is about 1310.9538365289.

Adding to 2253005213 its reverse (3125003522), we get a palindrome (5378008735).

The spelling of 2253005213 in words is "two billion, two hundred fifty-three million, five thousand, two hundred thirteen".