252519904 has 96 divisors (see below), whose sum is σ = 647994816. Its totient is φ = 94003200.

The previous prime is 252519901. The next prime is 252519913. The reversal of 252519904 is 409915252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252519901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46954 + ... + 52054.

It is an arithmetic number, because the mean of its divisors is an integer number (6749946).

Almost surely, 2^252519904 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 252519904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323997408).

252519904 is an abundant number, since it is smaller than the sum of its proper divisors (395474912).

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

252519904 is a wasteful number, since it uses less digits than its factorization.

252519904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 252519904 is about 15890.8748657838. The cubic root of 252519904 is about 632.0700397729.

The spelling of 252519904 in words is "two hundred fifty-two million, five hundred nineteen thousand, nine hundred four".