13053000 has 128 divisors (see below), whose sum is σ = 43056000. Its totient is φ = 3283200.

The previous prime is 13052993. The next prime is 13053011. The reversal of 13053000 is 35031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 56886 + ... + 57114.

It is an arithmetic number, because the mean of its divisors is an integer number (336375).

Almost surely, 2^13053000 is an apocalyptic number.

13053000 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 13053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21528000).

13053000 is an abundant number, since it is smaller than the sum of its proper divisors (30003000).

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

13053000 is a wasteful number, since it uses less digits than its factorization.

13053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 13053000 is about 3612.8935771761. The cubic root of 13053000 is about 235.4525758608.

Adding to 13053000 its reverse (35031), we get a palindrome (13088031).

The spelling of 13053000 in words is "thirteen million, fifty-three thousand".