253216560 has 160 divisors (see below), whose sum is σ = 809323200. Its totient is φ = 65470464.

The previous prime is 253216559. The next prime is 253216573. The reversal of 253216560 is 65612352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1699366 + ... + 1699514.

It is an arithmetic number, because the mean of its divisors is an integer number (5058270).

Almost surely, 2^253216560 is an apocalyptic number.

253216560 is a gapful number since it is divisible by the number (20) 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 253216560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404661600).

253216560 is an abundant number, since it is smaller than the sum of its proper divisors (556106640).

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

253216560 is a wasteful number, since it uses less digits than its factorization.

253216560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 253216560 is about 15912.7797697323. The cubic root of 253216560 is about 632.6507610855.

The spelling of 253216560 in words is "two hundred fifty-three million, two hundred sixteen thousand, five hundred sixty".