253083936 has 96 divisors (see below), whose sum is σ = 765072000. Its totient is φ = 71755776.

The previous prime is 253083917. The next prime is 253083979. The reversal of 253083936 is 639380352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×253083936² = 128102957322504192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253083894 and 253083903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90690 + ... + 93438.

It is an arithmetic number, because the mean of its divisors is an integer number (7969500).

Almost surely, 2^253083936 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 253083936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382536000).

253083936 is an abundant number, since it is smaller than the sum of its proper divisors (511988064).

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

253083936 is a wasteful number, since it uses less digits than its factorization.

253083936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 253083936 is about 15908.6120073374. The cubic root of 253083936 is about 632.5402899965.

The spelling of 253083936 in words is "two hundred fifty-three million, eighty-three thousand, nine hundred thirty-six".