2509953 has 8 divisors (see below), whose sum is σ = 3424608. Its totient is φ = 1634304.

The previous prime is 2509937. The next prime is 2509961. The reversal of 2509953 is 3599052.

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

It is not a de Polignac number, because 2509953 - 2⁴ = 2509937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2509933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9600 + ... + 9857.

It is an arithmetic number, because the mean of its divisors is an integer number (428076).

2^2509953 is an apocalyptic number.

It is an amenable number.

2509953 is a deficient number, since it is larger than the sum of its proper divisors (914655).

2509953 is a wasteful number, since it uses less digits than its factorization.

2509953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19503.

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 2509953 is about 1584.2831186376. The cubic root of 2509953 is about 135.9007529951.

Subtracting from 2509953 its sum of digits (33), we obtain a triangular number (2509920 = T₂₂₄₀).

It can be divided in two parts, 25099 and 53, that added together give a palindrome (25152).

The spelling of 2509953 in words is "two million, five hundred nine thousand, nine hundred fifty-three".