Search a number
-
+
2253000509 is a prime number
BaseRepresentation
bin1000011001001010…
…0000111100111101
312211000102021200022
42012102200330331
514103232004014
61011321341525
7106555121414
oct20622407475
95730367608
102253000509
11a5683a6a1
1252a6378a5
1329b9ca6c6
1417531647b
15d2bdaa8e
hex864a0f3d

2253000509 has 2 divisors, whose sum is σ = 2253000510. Its totient is φ = 2253000508.

The previous prime is 2253000433. The next prime is 2253000511. The reversal of 2253000509 is 9050003522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2083922500 + 169078009 = 45650^2 + 13003^2 .

It is a cyclic number.

It is not a de Polignac number, because 2253000509 - 228 = 1984565053 is a prime.

It is a super-2 number, since 2×22530005092 = 10152022587108518162, which contains 22 as substring.

Together with 2253000511, 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 (2253000539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126500254 + 1126500255.

It is an arithmetic number, because the mean of its divisors is an integer number (1126500255).

Almost surely, 22253000509 is an apocalyptic number.

It is an amenable number.

2253000509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2253000509 is an equidigital number, since it uses as much as digits as its factorization.

2253000509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 2253000509 is about 47465.7825069808. The cubic root of 2253000509 is about 1310.9529241578.

The spelling of 2253000509 in words is "two billion, two hundred fifty-three million, five hundred nine", and thus it is an aban number.