509952001 has 8 divisors (see below), whose sum is σ = 578083520. Its totient is φ = 445949712.

The previous prime is 509951999. The next prime is 509952029. The reversal of 509952001 is 100259905.

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

It is not a de Polignac number, because 509952001 - 2¹ = 509951999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509952901) 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, 1032045 + ... + 1032538.

It is an arithmetic number, because the mean of its divisors is an integer number (72260440).

Almost surely, 2^509952001 is an apocalyptic number.

It is an amenable number.

509952001 is a deficient number, since it is larger than the sum of its proper divisors (68131519).

509952001 is a wasteful number, since it uses less digits than its factorization.

509952001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064615.

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 509952001 is about 22582.1168405444. The cubic root of 509952001 is about 798.9319084644.

The spelling of 509952001 in words is "five hundred nine million, nine hundred fifty-two thousand, one".