253322120 has 16 divisors (see below), whose sum is σ = 569974860. Its totient is φ = 101328832.

The previous prime is 253322099. The next prime is 253322129. The reversal of 253322120 is 21223352.

It can be written as a sum of positive squares in 2 ways, for example, as 250968964 + 2353156 = 15842^2 + 1534^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 253322092 and 253322101.

It is not an unprimeable number, because it can be changed into a prime (253322129) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3166487 + ... + 3166566.

Almost surely, 2^253322120 is an apocalyptic number.

253322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253322120 is an abundant number, since it is smaller than the sum of its proper divisors (316652740).

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

253322120 is a wasteful number, since it uses less digits than its factorization.

253322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333064 (or 6333060 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 253322120 is about 15916.0962550495. The cubic root of 253322120 is about 632.7386612560.

Adding to 253322120 its reverse (21223352), we get a palindrome (274545472).

The spelling of 253322120 in words is "two hundred fifty-three million, three hundred twenty-two thousand, one hundred twenty".