253765632 has 96 divisors (see below), whose sum is σ = 684815040. Its totient is φ = 83558400.

The previous prime is 253765627. The next prime is 253765637. The reversal of 253765632 is 236567352.

It is an interprime number because it is at equal distance from previous prime (253765627) and next prime (253765637).

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

It is not an unprimeable number, because it can be changed into a prime (253765637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 632632 + ... + 633032.

It is an arithmetic number, because the mean of its divisors is an integer number (7133490).

Almost surely, 2^253765632 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 253765632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342407520).

253765632 is an abundant number, since it is smaller than the sum of its proper divisors (431049408).

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

253765632 is a wasteful number, since it uses less digits than its factorization.

253765632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its digits is 226800, while the sum is 39.

The square root of 253765632 is about 15930.0229755013. The cubic root of 253765632 is about 633.1077086121.

The spelling of 253765632 in words is "two hundred fifty-three million, seven hundred sixty-five thousand, six hundred thirty-two".