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2553412313 is a prime number
BaseRepresentation
bin1001100000110001…
…1111101011011001
320120221200210012102
42120030133223121
520212133143223
61101212253145
7120163434524
oct23014375331
96527623172
102553412313
1110a0375511
125b31711b5
13319010a7a
141a3195bbb
15ee27b928
hex9831fad9

2553412313 has 2 divisors, whose sum is σ = 2553412314. Its totient is φ = 2553412312.

The previous prime is 2553412259. The next prime is 2553412349. The reversal of 2553412313 is 3132143552.

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., 1447650304 + 1105762009 = 38048^2 + 33253^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553412313 - 224 = 2536635097 is a prime.

It is not a weakly prime, because it can be changed into another prime (2553412013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276706156 + 1276706157.

It is an arithmetic number, because the mean of its divisors is an integer number (1276706157).

Almost surely, 22553412313 is an apocalyptic number.

It is an amenable number.

2553412313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553412313 is an equidigital number, since it uses as much as digits as its factorization.

2553412313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10800, while the sum is 29.

The square root of 2553412313 is about 50531.3003295977. The cubic root of 2553412313 is about 1366.8063341364.

Adding to 2553412313 its reverse (3132143552), we get a palindrome (5685555865).

The spelling of 2553412313 in words is "two billion, five hundred fifty-three million, four hundred twelve thousand, three hundred thirteen".