253141164 has 72 divisors (see below), whose sum is σ = 666906240. Its totient is φ = 80870400.

The previous prime is 253141153. The next prime is 253141171. The reversal of 253141164 is 461141352.

It is a happy number.

It is a super-2 number, since 2×253141164² = 128160897822549792, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 120604 + ... + 122684.

Almost surely, 2^253141164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253141164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333453120).

253141164 is an abundant number, since it is smaller than the sum of its proper divisors (413765076).

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

253141164 is a wasteful number, since it uses less digits than its factorization.

253141164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2226 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 253141164 is about 15910.4105540995. The cubic root of 253141164 is about 632.5879636236.

The spelling of 253141164 in words is "two hundred fifty-three million, one hundred forty-one thousand, one hundred sixty-four".