2509353 has 64 divisors (see below), whose sum is σ = 4976640. Its totient is φ = 1209600.

The previous prime is 2509337. The next prime is 2509363. The reversal of 2509353 is 3539052.

It is not a de Polignac number, because 2509353 - 2⁴ = 2509337 is a prime.

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

2509353 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35308 + ... + 35378.

It is an arithmetic number, because the mean of its divisors is an integer number (77760).

2^2509353 is an apocalyptic number.

It is an amenable number.

2509353 is a deficient number, since it is larger than the sum of its proper divisors (2467287).

2509353 is a wasteful number, since it uses less digits than its factorization.

2509353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 2509353 is about 1584.0937472258. The cubic root of 2509353 is about 135.8899231840.

The spelling of 2509353 in words is "two million, five hundred nine thousand, three hundred fifty-three".