10537529 has 2 divisors, whose sum is σ = 10537530. Its totient is φ = 10537528.

The previous prime is 10537523. The next prime is 10537543. The reversal of 10537529 is 92573501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8970025 + 1567504 = 2995^2 + 1252^2 .

It is a cyclic number.

It is not a de Polignac number, because 10537529 - 2⁸ = 10537273 is a prime.

It is a super-2 number, since 2×10537529² = 222079034851682, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10537495 and 10537504.

It is not a weakly prime, because it can be changed into another prime (10537523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5268764 + 5268765.

It is an arithmetic number, because the mean of its divisors is an integer number (5268765).

Almost surely, 2^10537529 is an apocalyptic number.

It is an amenable number.

10537529 is a deficient number, since it is larger than the sum of its proper divisors (1).

10537529 is an equidigital number, since it uses as much as digits as its factorization.

10537529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 10537529 is about 3246.1560344506. The cubic root of 10537529 is about 219.2365340499.

The spelling of 10537529 in words is "ten million, five hundred thirty-seven thousand, five hundred twenty-nine".