2509153295 has 48 divisors (see below), whose sum is σ = 3401244000. Its totient is φ = 1762076160.

The previous prime is 2509153291. The next prime is 2509153337. The reversal of 2509153295 is 5923519052.

It is not a de Polignac number, because 2509153295 - 2² = 2509153291 is a prime.

It is a super-3 number, since 3×2509153295³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509153291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16839881 + ... + 16840029.

It is an arithmetic number, because the mean of its divisors is an integer number (70859250).

Almost surely, 2^2509153295 is an apocalyptic number.

2509153295 is a deficient number, since it is larger than the sum of its proper divisors (892090705).

2509153295 is a wasteful number, since it uses less digits than its factorization.

2509153295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 41.

The square root of 2509153295 is about 50091.4493202183. The cubic root of 2509153295 is about 1358.8631818878.

The spelling of 2509153295 in words is "two billion, five hundred nine million, one hundred fifty-three thousand, two hundred ninety-five".