10513537 has 2 divisors, whose sum is σ = 10513538. Its totient is φ = 10513536.

The previous prime is 10513523. The next prime is 10513549. The reversal of 10513537 is 73531501.

10513537 is digitally balanced in base 3, 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., 7160976 + 3352561 = 2676^2 + 1831^2 .

It is a cyclic number.

It is not a de Polignac number, because 10513537 - 2⁷ = 10513409 is a prime.

It is a super-2 number, since 2×10513537² = 221068920500738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10513577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5256768 + 5256769.

It is an arithmetic number, because the mean of its divisors is an integer number (5256769).

Almost surely, 2^10513537 is an apocalyptic number.

It is an amenable number.

10513537 is a deficient number, since it is larger than the sum of its proper divisors (1).

10513537 is an equidigital number, since it uses as much as digits as its factorization.

10513537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 10513537 is about 3242.4584808444. The cubic root of 10513537 is about 219.0700206311.

The spelling of 10513537 in words is "ten million, five hundred thirteen thousand, five hundred thirty-seven".