2553521 has 8 divisors (see below), whose sum is σ = 2661288. Its totient is φ = 2448000.

The previous prime is 2553511. The next prime is 2553527. The reversal of 2553521 is 1253552.

It can be written as a sum of positive squares in 4 ways, for example, as 57121 + 2496400 = 239^2 + 1580^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2553521 - 2⁶ = 2553457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2553527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1991 + ... + 3011.

It is an arithmetic number, because the mean of its divisors is an integer number (332661).

2^2553521 is an apocalyptic number.

It is an amenable number.

2553521 is a deficient number, since it is larger than the sum of its proper divisors (107767).

2553521 is a wasteful number, since it uses less digits than its factorization.

2553521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123.

The product of its digits is 1500, while the sum is 23.

The square root of 2553521 is about 1597.9740298265. The cubic root of 2553521 is about 136.6825726744.

The spelling of 2553521 in words is "two million, five hundred fifty-three thousand, five hundred twenty-one".