252510120 has 48 divisors (see below), whose sum is σ = 820659060. Its totient is φ = 67335936.

The previous prime is 252510113. The next prime is 252510121. The reversal of 252510120 is 21015252.

It can be written as a sum of positive squares in 2 ways, for example, as 242051364 + 10458756 = 15558^2 + 3234^2 .

It is a super-3 number, since 3×252510120³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 252510093 and 252510102.

It is not an unprimeable number, because it can be changed into a prime (252510121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350349 + ... + 351068.

Almost surely, 2^252510120 is an apocalyptic number.

252510120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252510120 is an abundant number, since it is smaller than the sum of its proper divisors (568148940).

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

252510120 is a wasteful number, since it uses less digits than its factorization.

252510120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701434 (or 701427 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 252510120 is about 15890.5670131685. The cubic root of 252510120 is about 632.0618763858.

Adding to 252510120 its reverse (21015252), we get a palindrome (273525372).

The spelling of 252510120 in words is "two hundred fifty-two million, five hundred ten thousand, one hundred twenty".