253265000 has 80 divisors (see below), whose sum is σ = 609882900. Its totient is φ = 98568000.

The previous prime is 253264967. The next prime is 253265017. The reversal of 253265000 is 562352.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 10 ways, for example, as 9604 + 253255396 = 98^2 + 15914^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6844982 + ... + 6845018.

Almost surely, 2^253265000 is an apocalyptic number.

253265000 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 253265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304941450).

253265000 is an abundant number, since it is smaller than the sum of its proper divisors (356617900).

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

253265000 is an frugal number, since it uses more digits than its factorization.

253265000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 253265000 is about 15914.3017440289. The cubic root of 253265000 is about 632.6911002704.

The spelling of 253265000 in words is "two hundred fifty-three million, two hundred sixty-five thousand".