261252200 has 48 divisors (see below), whose sum is σ = 662636160. Its totient is φ = 95000000.

The previous prime is 261252157. The next prime is 261252241. The reversal of 261252200 is 2252162.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 57176 + ... + 61575.

It is an arithmetic number, because the mean of its divisors is an integer number (13804920).

Almost surely, 2^261252200 is an apocalyptic number.

261252200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261252200 is an abundant number, since it is smaller than the sum of its proper divisors (401383960).

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

261252200 is a wasteful number, since it uses less digits than its factorization.

261252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118778 (or 118769 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 261252200 is about 16163.2979308061. The cubic root of 261252200 is about 639.2734267569.

The spelling of 261252200 in words is "two hundred sixty-one million, two hundred fifty-two thousand, two hundred".