22501125 has 64 divisors (see below), whose sum is σ = 42681600. Its totient is φ = 11692800.

The previous prime is 22501099. The next prime is 22501139. The reversal of 22501125 is 52110522.

It is not a de Polignac number, because 22501125 - 2⁵ = 22501093 is a prime.

It is a super-3 number, since 3×22501125³ (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22501098 and 22501107.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 199069 + ... + 199181.

It is an arithmetic number, because the mean of its divisors is an integer number (666900).

Almost surely, 2^22501125 is an apocalyptic number.

22501125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22501125 is a deficient number, since it is larger than the sum of its proper divisors (20180475).

22501125 is a wasteful number, since it uses less digits than its factorization.

22501125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

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

The square root of 22501125 is about 4743.5350741825. The cubic root of 22501125 is about 282.3155137660.

Adding to 22501125 its reverse (52110522), we get a palindrome (74611647).

It can be divided in two parts, 2250 and 1125, that added together give a cube (3375 = 15³).

The spelling of 22501125 in words is "twenty-two million, five hundred one thousand, one hundred twenty-five".