Search a number
-
+
958696253 is a prime number
BaseRepresentation
bin111001001001001…
…000101100111101
32110210221211000122
4321021020230331
53430411240003
6235044104325
732520532544
oct7111105475
92423854018
10958696253
11452182759
122290950a5
131238080b8
149147915b
1559273238
hex39248b3d

958696253 has 2 divisors, whose sum is σ = 958696254. Its totient is φ = 958696252.

The previous prime is 958696241. The next prime is 958696259. The reversal of 958696253 is 352696859.

958696253 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., 521802649 + 436893604 = 22843^2 + 20902^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-958696253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 958696195 and 958696204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (958696259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 479348126 + 479348127.

It is an arithmetic number, because the mean of its divisors is an integer number (479348127).

Almost surely, 2958696253 is an apocalyptic number.

It is an amenable number.

958696253 is a deficient number, since it is larger than the sum of its proper divisors (1).

958696253 is an equidigital number, since it uses as much as digits as its factorization.

958696253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3499200, while the sum is 53.

The square root of 958696253 is about 30962.8204949097. The cubic root of 958696253 is about 986.0380556719.

The spelling of 958696253 in words is "nine hundred fifty-eight million, six hundred ninety-six thousand, two hundred fifty-three".