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2252153213 is a prime number
BaseRepresentation
bin1000011000111101…
…0010000101111101
312210221211020101222
42012033102011331
514103022400323
61011251243125
7106544662232
oct20617220575
95727736358
102252153213
11a56311052
1252a2a94a5
1329b791b4b
14175175789
15d2abe9c8
hex863d217d

2252153213 has 2 divisors, whose sum is σ = 2252153214. Its totient is φ = 2252153212.

The previous prime is 2252153173. The next prime is 2252153219. The reversal of 2252153213 is 3123512522.

It is a happy number.

2252153213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1173884644 + 1078268569 = 34262^2 + 32837^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252153213 - 28 = 2252152957 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 (2252153219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126076606 + 1126076607.

It is an arithmetic number, because the mean of its divisors is an integer number (1126076607).

Almost surely, 22252153213 is an apocalyptic number.

It is an amenable number.

2252153213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252153213 is an equidigital number, since it uses as much as digits as its factorization.

2252153213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3600, while the sum is 26.

The square root of 2252153213 is about 47456.8563328841. The cubic root of 2252153213 is about 1310.7885649048.

Adding to 2252153213 its reverse (3123512522), we get a palindrome (5375665735).

The spelling of 2252153213 in words is "two billion, two hundred fifty-two million, one hundred fifty-three thousand, two hundred thirteen".