10537309 has 2 divisors, whose sum is σ = 10537310. Its totient is φ = 10537308.

The previous prime is 10537273. The next prime is 10537313. The reversal of 10537309 is 90373501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10381284 + 156025 = 3222^2 + 395^2 .

It is an emirp because it is prime and its reverse (90373501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10537309 is a prime.

It is a super-2 number, since 2×10537309² = 222069761922962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10537339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5268654 + 5268655.

It is an arithmetic number, because the mean of its divisors is an integer number (5268655).

Almost surely, 2^10537309 is an apocalyptic number.

It is an amenable number.

10537309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10537309 is an equidigital number, since it uses as much as digits as its factorization.

10537309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 28.

The square root of 10537309 is about 3246.1221480406. The cubic root of 10537309 is about 219.2350083167.

The spelling of 10537309 in words is "ten million, five hundred thirty-seven thousand, three hundred nine".