253213616 has 40 divisors (see below), whose sum is σ = 511633920. Its totient is φ = 121250304.

The previous prime is 253213591. The next prime is 253213669. The reversal of 253213616 is 616312352.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 7 ways as a sum of consecutive naturals, for example, 56780 + ... + 61076.

It is an arithmetic number, because the mean of its divisors is an integer number (12790848).

Almost surely, 2^253213616 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 253213616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255816960).

253213616 is an abundant number, since it is smaller than the sum of its proper divisors (258420304).

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

253213616 is a wasteful number, since it uses less digits than its factorization.

253213616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4455 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 253213616 is about 15912.6872651982. The cubic root of 253213616 is about 632.6483092565.

Adding to 253213616 its reverse (616312352), we get a palindrome (869525968).

The spelling of 253213616 in words is "two hundred fifty-three million, two hundred thirteen thousand, six hundred sixteen".