253211310 has 96 divisors (see below), whose sum is σ = 721768320. Its totient is φ = 61080000.

The previous prime is 253211293. The next prime is 253211333. The reversal of 253211310 is 13112352.

253211310 is a `hidden beast` number, since 2 + 532 + 1 + 131 + 0 = 666.

It is a super-2 number, since 2×253211310² = 128231935023832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 247981 + ... + 248999.

It is an arithmetic number, because the mean of its divisors is an integer number (7518420).

Almost surely, 2^253211310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253211310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

253211310 is an abundant number, since it is smaller than the sum of its proper divisors (468557010).

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

253211310 is a wasteful number, since it uses less digits than its factorization.

253211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 253211310 is about 15912.6148071271. The cubic root of 253211310 is about 632.6463887550.

Adding to 253211310 its reverse (13112352), we get a palindrome (266323662).

The spelling of 253211310 in words is "two hundred fifty-three million, two hundred eleven thousand, three hundred ten".