1525819428 has 324 divisors, whose sum is σ = 4949207172. Its totient is φ = 394813440.

The previous prime is 1525819403. The next prime is 1525819433. The reversal of 1525819428 is 8249185251.

1525819428 is a `hidden beast` number, since 1 + 525 + 81 + 9 + 42 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3415104 + 1522404324 = 1848^2 + 39018^2 .

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 107 ways as a sum of consecutive naturals, for example, 20901600 + ... + 20901672.

Almost surely, 2^1525819428 is an apocalyptic number.

1525819428 is a gapful number since it is divisible by the number (18) 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 1525819428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474603586).

1525819428 is an abundant number, since it is smaller than the sum of its proper divisors (3423387744).

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

1525819428 is a wasteful number, since it uses less digits than its factorization.

1525819428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 1525819428 is about 39061.7386709808. The cubic root of 1525819428 is about 1151.2448845561.

The spelling of 1525819428 in words is "one billion, five hundred twenty-five million, eight hundred nineteen thousand, four hundred twenty-eight".