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10523713 is a prime number
BaseRepresentation
bin101000001001…
…010001000001
3201210122211011
4220021101001
510143224323
61013320521
7155310244
oct50112101
921718734
1010523713
115a38692
123636141
132246065
14157d25b
15dcd20d
hexa09441

10523713 has 2 divisors, whose sum is σ = 10523714. Its totient is φ = 10523712.

The previous prime is 10523707. The next prime is 10523729. The reversal of 10523713 is 31732501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6615184 + 3908529 = 2572^2 + 1977^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10523713 is a prime.

It is a super-2 number, since 2×105237132 = 221497070612738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10523783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5261856 + 5261857.

It is an arithmetic number, because the mean of its divisors is an integer number (5261857).

Almost surely, 210523713 is an apocalyptic number.

It is an amenable number.

10523713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10523713 is an equidigital number, since it uses as much as digits as its factorization.

10523713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 10523713 is about 3244.0272810197. The cubic root of 10523713 is about 219.1406767667.

It can be divided in two parts, 10523 and 713, that added together give a square (11236 = 1062).

The spelling of 10523713 in words is "ten million, five hundred twenty-three thousand, seven hundred thirteen".