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9785013253 is a prime number
BaseRepresentation
bin10010001110011101…
…10111010000000101
3221020221020011202021
421013032313100011
5130014430411003
64254542443141
7464324145301
oct110716672005
927227204667
109785013253
114171426314
121a90b934b1
13bcc2b6892
1468b79cd01
153c40932bd
hex2473b7405

9785013253 has 2 divisors, whose sum is σ = 9785013254. Its totient is φ = 9785013252.

The previous prime is 9785013169. The next prime is 9785013317. The reversal of 9785013253 is 3523105879.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6865448164 + 2919565089 = 82858^2 + 54033^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9785013253 is a prime.

It is a super-2 number, since 2×97850132532 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9785013353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4892506626 + 4892506627.

It is an arithmetic number, because the mean of its divisors is an integer number (4892506627).

Almost surely, 29785013253 is an apocalyptic number.

It is an amenable number.

9785013253 is a deficient number, since it is larger than the sum of its proper divisors (1).

9785013253 is an equidigital number, since it uses as much as digits as its factorization.

9785013253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 9785013253 is about 98919.2259017427. The cubic root of 9785013253 is about 2138.8835452912.

The spelling of 9785013253 in words is "nine billion, seven hundred eighty-five million, thirteen thousand, two hundred fifty-three".