253542120 has 64 divisors (see below), whose sum is σ = 819141120. Its totient is φ = 62409984.

The previous prime is 253542083. The next prime is 253542127. The reversal of 253542120 is 21245352.

It is a super-2 number, since 2×253542120² = 128567213228188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (253542127) 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 15 ways as a sum of consecutive naturals, for example, 79704 + ... + 82823.

It is an arithmetic number, because the mean of its divisors is an integer number (12799080).

Almost surely, 2^253542120 is an apocalyptic number.

253542120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253542120 is an abundant number, since it is smaller than the sum of its proper divisors (565599000).

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

253542120 is a wasteful number, since it uses less digits than its factorization.

253542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162554 (or 162550 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 253542120 is about 15923.0059976124. The cubic root of 253542120 is about 632.9217775556.

Adding to 253542120 its reverse (21245352), we get a palindrome (274787472).

The spelling of 253542120 in words is "two hundred fifty-three million, five hundred forty-two thousand, one hundred twenty".