2553637 has 2 divisors, whose sum is σ = 2553638. Its totient is φ = 2553636.

The previous prime is 2553631. The next prime is 2553647. The reversal of 2553637 is 7363552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1406596 + 1147041 = 1186^2 + 1071^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2553637 is a prime.

It is a d-powerful number, because it can be written as 2¹⁹ + 5³ + 5⁹ + 3³ + 6³ + 3¹⁰ + 7⁵ .

It is equal to p₁₈₆₇₀₉ and since 2553637 and 186709 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 2553599 and 2553608.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2553631) 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 as a sum of consecutive naturals, namely, 1276818 + 1276819.

It is an arithmetic number, because the mean of its divisors is an integer number (1276819).

2^2553637 is an apocalyptic number.

It is an amenable number.

2553637 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553637 is an equidigital number, since it uses as much as digits as its factorization.

2553637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18900, while the sum is 31.

The square root of 2553637 is about 1598.0103253734. The cubic root of 2553637 is about 136.6846423576.

It can be divided in two parts, 2553 and 637, that multiplied together give a palindrome (1626261).

The spelling of 2553637 in words is "two million, five hundred fifty-three thousand, six hundred thirty-seven".