253568952 has 192 divisors, whose sum is σ = 853944000. Its totient is φ = 66583296.

The previous prime is 253568947. The next prime is 253568977. The reversal of 253568952 is 259865352.

253568952 is a `hidden beast` number, since 2 + 535 + 68 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 253568898 and 253568907.

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, 1107174 + ... + 1107402.

It is an arithmetic number, because the mean of its divisors is an integer number (4447625).

Almost surely, 2^253568952 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 253568952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426972000).

253568952 is an abundant number, since it is smaller than the sum of its proper divisors (600375048).

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

253568952 is a wasteful number, since it uses less digits than its factorization.

253568952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 254 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 253568952 is about 15923.8485297996. The cubic root of 253568952 is about 632.9441038370.

The spelling of 253568952 in words is "two hundred fifty-three million, five hundred sixty-eight thousand, nine hundred fifty-two".