260525000 has 96 divisors (see below), whose sum is σ = 647536680. Its totient is φ = 97920000.

The previous prime is 260524993. The next prime is 260525063. The reversal of 260525000 is 525062.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 175774564 + 84750436 = 13258^2 + 9206^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424694 + ... + 425306.

Almost surely, 2^260525000 is an apocalyptic number.

260525000 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 260525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323768340).

260525000 is an abundant number, since it is smaller than the sum of its proper divisors (387011680).

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

260525000 is an equidigital number, since it uses as much as digits as its factorization.

260525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 260525000 is about 16140.7868457520. The cubic root of 260525000 is about 638.6797326972.

The spelling of 260525000 in words is "two hundred sixty million, five hundred twenty-five thousand".