208125952 has 30 divisors (see below), whose sum is σ = 416271968. Its totient is φ = 104054784.

The previous prime is 208125947. The next prime is 208125959. The reversal of 208125952 is 259521802.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208125959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10033 + ... + 22735.

Almost surely, 2^208125952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208135984).

208125952 is an abundant number, since it is smaller than the sum of its proper divisors (208146016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208125952 is an frugal number, since it uses more digits than its factorization.

208125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12731 (or 12705 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 208125952 is about 14426.5710409647. The cubic root of 208125952 is about 592.6187832375.

The spelling of 208125952 in words is "two hundred eight million, one hundred twenty-five thousand, nine hundred fifty-two".