10577521 has 4 divisors (see below), whose sum is σ = 10631412. Its totient is φ = 10523632.

The previous prime is 10577513. The next prime is 10577531. The reversal of 10577521 is 12577501.

10577521 = T₂₆₅₄ + T₂₆₅₅ + T₂₆₅₆.

10577521 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12577501 = 17 ⋅739853.

It can be written as a sum of positive squares in 2 ways, for example, as 6948496 + 3629025 = 2636^2 + 1905^2 .

It is a cyclic number.

It is not a de Polignac number, because 10577521 - 2³ = 10577513 is a prime.

It is a super-2 number, since 2×10577521² = 223767901010882, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10577521.

It is not an unprimeable number, because it can be changed into a prime (10577531) 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 in 3 ways as a sum of consecutive naturals, for example, 26650 + ... + 27043.

It is an arithmetic number, because the mean of its divisors is an integer number (2657853).

Almost surely, 2^10577521 is an apocalyptic number.

10577521 is the 2656-th centered triangular number.

It is an amenable number.

10577521 is a deficient number, since it is larger than the sum of its proper divisors (53891).

10577521 is an equidigital number, since it uses as much as digits as its factorization.

10577521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53890.

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 10577521 is about 3252.3101020659. The cubic root of 10577521 is about 219.5135325464.

The spelling of 10577521 in words is "ten million, five hundred seventy-seven thousand, five hundred twenty-one".