2505357 has 8 divisors (see below), whose sum is σ = 3711680. Its totient is φ = 1670220.

The previous prime is 2505353. The next prime is 2505361. The reversal of 2505357 is 7535052.

2505357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2505353) and next prime (2505361).

It is not a de Polignac number, because 2505357 - 2² = 2505353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 92791 = 2505357 / (2 + 5 + 0 + 5 + 3 + 5 + 7).

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 2505357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505353) 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 7 ways as a sum of consecutive naturals, for example, 46369 + ... + 46422.

It is an arithmetic number, because the mean of its divisors is an integer number (463960).

2^2505357 is an apocalyptic number.

2505357 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2505357 is a deficient number, since it is larger than the sum of its proper divisors (1206323).

2505357 is an equidigital number, since it uses as much as digits as its factorization.

2505357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92800 (or 92794 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 2505357 is about 1582.8319557047. The cubic root of 2505357 is about 135.8177525715.

The spelling of 2505357 in words is "two million, five hundred five thousand, three hundred fifty-seven".