1530985528900 has 27 divisors (see below), whose sum is σ = 3322265447991. Its totient is φ = 612389262240.

The previous prime is 1530985528841. The next prime is 1530985528931. The reversal of 1530985528900 is 98255890351.

It is a happy number.

The square root of 1530985528900 is 1237330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 58238238276 + 1472747290624 = 241326^2 + 1213568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12311434 + ... + 12435166.

Almost surely, 2^{1530985528900} is an apocalyptic number.

1530985528900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1530985528900 is the 1237330-th square number.

It is an amenable number.

1530985528900 is an abundant number, since it is smaller than the sum of its proper divisors (1791279919091).

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

1530985528900 is an frugal number, since it uses more digits than its factorization.

1530985528900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247480 (or 123740 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 55.

The spelling of 1530985528900 in words is "one trillion, five hundred thirty billion, nine hundred eighty-five million, five hundred twenty-eight thousand, nine hundred".