2553633 has 16 divisors (see below), whose sum is σ = 3808000. Its totient is φ = 1691280.

The previous prime is 2553631. The next prime is 2553637. The reversal of 2553633 is 3363552.

2553633 is a `hidden beast` number, since 25 + 5 + 3 + 633 = 666.

It is not a de Polignac number, because 2553633 - 2¹ = 2553631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2²¹ + 5 + 5⁷ + 3⁹ + 6⁷ + 3⁹ + 3¹⁰ .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2553597 and 2553606.

It is not an unprimeable number, because it can be changed into a prime (2553631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7143 + ... + 7491.

It is an arithmetic number, because the mean of its divisors is an integer number (238000).

2^2553633 is an apocalyptic number.

It is an amenable number.

2553633 is a deficient number, since it is larger than the sum of its proper divisors (1254367).

2553633 is a wasteful number, since it uses less digits than its factorization.

2553633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its digits is 8100, while the sum is 27.

The square root of 2553633 is about 1598.0090738165. The cubic root of 2553633 is about 136.6845709903.

The spelling of 2553633 in words is "two million, five hundred fifty-three thousand, six hundred thirty-three".