13025000 has 48 divisors (see below), whose sum is σ = 30583980. Its totient is φ = 5200000.

The previous prime is 13024981. The next prime is 13025027. The reversal of 13025000 is 52031.

It can be written as a sum of positive squares in 6 ways, for example, as 2617924 + 10407076 = 1618^2 + 3226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24740 + ... + 25260.

Almost surely, 2^13025000 is an apocalyptic number.

13025000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13025000 is the 2084-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291990).

13025000 is an abundant number, since it is smaller than the sum of its proper divisors (17558980).

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

13025000 is an frugal number, since it uses more digits than its factorization.

13025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 13025000 is about 3609.0164865237. The cubic root of 13025000 is about 235.2840988381.

Adding to 13025000 its reverse (52031), we get a palindrome (13077031).

The spelling of 13025000 in words is "thirteen million, twenty-five thousand".