1509248090 has 64 divisors (see below), whose sum is σ = 3283200000. Its totient is φ = 487964736.

The previous prime is 1509248053. The next prime is 1509248119. The reversal of 1509248090 is 908429051.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299411 + ... + 304409.

It is an arithmetic number, because the mean of its divisors is an integer number (51300000).

Almost surely, 2^1509248090 is an apocalyptic number.

1509248090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1509248090 is an abundant number, since it is smaller than the sum of its proper divisors (1773951910).

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

1509248090 is a wasteful number, since it uses less digits than its factorization.

1509248090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259.

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 1509248090 is about 38849.0423305389. The cubic root of 1509248090 is about 1147.0619621252.

The spelling of 1509248090 in words is "one billion, five hundred nine million, two hundred forty-eight thousand, ninety".