253520256 has 128 divisors (see below), whose sum is σ = 750850560. Its totient is φ = 75130880.

The previous prime is 253520251. The next prime is 253520273. The reversal of 253520256 is 652025352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253520251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197890 + ... + 199166.

It is an arithmetic number, because the mean of its divisors is an integer number (5866020).

Almost surely, 2^253520256 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 253520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375425280).

253520256 is an abundant number, since it is smaller than the sum of its proper divisors (497330304).

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

253520256 is a wasteful number, since it uses less digits than its factorization.

253520256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 253520256 is about 15922.3194290279. The cubic root of 253520256 is about 632.9035838665.

It can be divided in two parts, 2535 and 20256, that added together give a triangular number (22791 = T₂₁₃).

The spelling of 253520256 in words is "two hundred fifty-three million, five hundred twenty thousand, two hundred fifty-six".