252516100 has 18 divisors (see below), whose sum is σ = 547960154. Its totient is φ = 101006400.

The previous prime is 252516097. The next prime is 252516107. The reversal of 252516100 is 1615252.

It can be written as a sum of positive squares in 3 ways, for example, as 67338436 + 185177664 = 8206^2 + 13608^2 .

It is not an unprimeable number, because it can be changed into a prime (252516107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1262481 + ... + 1262680.

Almost surely, 2^252516100 is an apocalyptic number.

252516100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252516100 is an abundant number, since it is smaller than the sum of its proper divisors (295444054).

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

252516100 is a wasteful number, since it uses less digits than its factorization.

252516100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525175 (or 2525168 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 252516100 is about 15890.7551739998. The cubic root of 252516100 is about 632.0668658890.

The spelling of 252516100 in words is "two hundred fifty-two million, five hundred sixteen thousand, one hundred".