1521000000 has 441 divisors, whose sum is σ = 5900959623. Its totient is φ = 374400000.

The previous prime is 1520999993. The next prime is 1521000017. The reversal of 1521000000 is 1251.

It is a happy number.

The square root of 1521000000 is 39000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 713530944 + 807469056 = 26712^2 + 28416^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 62 ways as a sum of consecutive naturals, for example, 116999994 + ... + 117000006.

Almost surely, 2^1521000000 is an apocalyptic number.

1521000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1521000000 is the 39000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1521000000

1521000000 is an abundant number, since it is smaller than the sum of its proper divisors (4379959623).

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

1521000000 is an frugal number, since it uses more digits than its factorization.

1521000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The cubic root of 1521000000 is about 1150.0315051230.

Adding to 1521000000 its reverse (1251), we get a palindrome (1521001251).

The spelling of 1521000000 in words is "one billion, five hundred twenty-one million", and thus it is an aban number.