252010000 has 200 divisors, whose sum is σ = 697276800. Its totient is φ = 87360000.

The previous prime is 252009959. The next prime is 252010009. The reversal of 252010000 is 10252.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (252010009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3189961 + ... + 3190039.

It is an arithmetic number, because the mean of its divisors is an integer number (3486384).

Almost surely, 2^252010000 is an apocalyptic number.

252010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348638400).

252010000 is an abundant number, since it is smaller than the sum of its proper divisors (445266800).

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

252010000 is a wasteful number, since it uses less digits than its factorization.

252010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 252010000 is about 15874.8228336571. The cubic root of 252010000 is about 631.6443146281.

Adding to 252010000 its reverse (10252), we get a palindrome (252020252).

The spelling of 252010000 in words is "two hundred fifty-two million, ten thousand".