253662552 has 192 divisors, whose sum is σ = 820834560. Its totient is φ = 69753600.

The previous prime is 253662533. The next prime is 253662569. The reversal of 253662552 is 255266352.

253662552 is a `hidden beast` number, since 25 + 3 + 6 + 625 + 5 + 2 = 666.

253662552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730843 + ... + 731189.

It is an arithmetic number, because the mean of its divisors is an integer number (4275180).

Almost surely, 2^253662552 is an apocalyptic number.

253662552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253662552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410417280).

253662552 is an abundant number, since it is smaller than the sum of its proper divisors (567172008).

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

253662552 is a wasteful number, since it uses less digits than its factorization.

253662552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 447 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 253662552 is about 15926.7872466483. The cubic root of 253662552 is about 633.0219738859.

The spelling of 253662552 in words is "two hundred fifty-three million, six hundred sixty-two thousand, five hundred fifty-two".