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2553333313 is a prime number
BaseRepresentation
bin1001100000110000…
…1100011001000001
320120221112202211111
42120030030121001
520212123131223
61101210443321
7120162655306
oct23014143101
96527482744
102553333313
1110a0321123
125b3133541
13318cb3b1b
141a31750ad
15ee26330d
hex9830c641

2553333313 has 2 divisors, whose sum is σ = 2553333314. Its totient is φ = 2553333312.

The previous prime is 2553333301. The next prime is 2553333323. The reversal of 2553333313 is 3133333552.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1550154384 + 1003178929 = 39372^2 + 31673^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553333313 - 25 = 2553333281 is a prime.

It is a super-2 number, since 2×25533333132 = 13039022014551111938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2553333323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276666656 + 1276666657.

It is an arithmetic number, because the mean of its divisors is an integer number (1276666657).

Almost surely, 22553333313 is an apocalyptic number.

It is an amenable number.

2553333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553333313 is an equidigital number, since it uses as much as digits as its factorization.

2553333313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36450, while the sum is 31.

The square root of 2553333313 is about 50530.5186298340. The cubic root of 2553333313 is about 1366.7922381215.

Adding to 2553333313 its reverse (3133333552), we get a palindrome (5686666865).

The spelling of 2553333313 in words is "two billion, five hundred fifty-three million, three hundred thirty-three thousand, three hundred thirteen".