130825264 has 80 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 60173568.

The previous prime is 130825249. The next prime is 130825333. The reversal of 130825264 is 462528031.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1576167 + ... + 1576249.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^130825264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130825264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

130825264 is an abundant number, since it is smaller than the sum of its proper divisors (144157136).

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

130825264 is a wasteful number, since it uses less digits than its factorization.

130825264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 130825264 is about 11437.8872174891. The cubic root of 130825264 is about 507.6493953794.

The spelling of 130825264 in words is "one hundred thirty million, eight hundred twenty-five thousand, two hundred sixty-four".