13253000 has 64 divisors (see below), whose sum is σ = 32151600. Its totient is φ = 5107200.

The previous prime is 13252999. The next prime is 13253003. The reversal of 13253000 is 35231.

It can be written as a sum of positive squares in 8 ways, for example, as 1976836 + 11276164 = 1406^2 + 3358^2 .

It is not an unprimeable number, because it can be changed into a prime (13253003) 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, 28772 + ... + 29228.

Almost surely, 2^13253000 is an apocalyptic number.

13253000 is a gapful number since it is divisible by the number (10) 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 13253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075800).

13253000 is an abundant number, since it is smaller than the sum of its proper divisors (18898600).

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

13253000 is a wasteful number, since it uses less digits than its factorization.

13253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 13253000 is about 3640.4670030094. The cubic root of 13253000 is about 236.6490321671.

Adding to 13253000 its reverse (35231), we get a palindrome (13288231).

The spelling of 13253000 in words is "thirteen million, two hundred fifty-three thousand".