1509248130 has 128 divisors (see below), whose sum is σ = 4105575936. Its totient is φ = 352512000.

The previous prime is 1509248129. The next prime is 1509248137. The reversal of 1509248130 is 318429051.

1509248130 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1509248091 and 1509248100.

It is not an unprimeable number, because it can be changed into a prime (1509248137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590355 + ... + 592905.

It is an arithmetic number, because the mean of its divisors is an integer number (32074812).

Almost surely, 2^1509248130 is an apocalyptic number.

1509248130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1509248130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052787968).

1509248130 is an abundant number, since it is smaller than the sum of its proper divisors (2596327806).

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

1509248130 is a wasteful number, since it uses less digits than its factorization.

1509248130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1509248130 is about 38849.0428453521. The cubic root of 1509248130 is about 1147.0619722588.

The spelling of 1509248130 in words is "one billion, five hundred nine million, two hundred forty-eight thousand, one hundred thirty".