252971649 has 24 divisors (see below), whose sum is σ = 418021760. Its totient is φ = 144410688.

The previous prime is 252971591. The next prime is 252971657. The reversal of 252971649 is 946179252.

It is not a de Polignac number, because 252971649 - 2⁸ = 252971393 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252975649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117309 + ... + 119445.

Almost surely, 2^252971649 is an apocalyptic number.

It is an amenable number.

252971649 is a deficient number, since it is larger than the sum of its proper divisors (165050111).

252971649 is a wasteful number, since it uses less digits than its factorization.

252971649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029 (or 4026 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 252971649 is about 15905.0824895692. The cubic root of 252971649 is about 632.4467287332.

The spelling of 252971649 in words is "two hundred fifty-two million, nine hundred seventy-one thousand, six hundred forty-nine".