Search a number
-
+
5253003829 is a prime number
BaseRepresentation
bin1001110010001101…
…00111101000110101
3111120002110020120101
410321012213220311
541224232110304
62225130034101
7244113536653
oct47106475065
914502406511
105253003829
112256202587
121027278931
136593b35b8
1437b91ddd3
1520b2808a4
hex1391a7a35

5253003829 has 2 divisors, whose sum is σ = 5253003830. Its totient is φ = 5253003828.

The previous prime is 5253003823. The next prime is 5253003841. The reversal of 5253003829 is 9283003525.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5231194929 + 21808900 = 72327^2 + 4670^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5253003829 is a prime.

It is a super-2 number, since 2×52530038292 = 55188098454977322482, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5253003823) 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, 2626501914 + 2626501915.

It is an arithmetic number, because the mean of its divisors is an integer number (2626501915).

Almost surely, 25253003829 is an apocalyptic number.

It is an amenable number.

5253003829 is a deficient number, since it is larger than the sum of its proper divisors (1).

5253003829 is an equidigital number, since it uses as much as digits as its factorization.

5253003829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 5253003829 is about 72477.6091562077. The cubic root of 5253003829 is about 1738.3447319321.

The spelling of 5253003829 in words is "five billion, two hundred fifty-three million, three thousand, eight hundred twenty-nine".