1506064900 has 18 divisors (see below), whose sum is σ = 3268161050. Its totient is φ = 602425920.

The previous prime is 1506064897. The next prime is 1506064919. The reversal of 1506064900 is 94606051.

It can be written as a sum of positive squares in 3 ways, for example, as 427993344 + 1078071556 = 20688^2 + 32834^2 .

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 5 ways as a sum of consecutive naturals, for example, 7530225 + ... + 7530424.

Almost surely, 2^1506064900 is an apocalyptic number.

1506064900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1506064900 is an abundant number, since it is smaller than the sum of its proper divisors (1762096150).

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

1506064900 is a wasteful number, since it uses less digits than its factorization.

1506064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15060663 (or 15060656 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1506064900 is about 38808.0519995529. The cubic root of 1506064900 is about 1146.2549628809.

The spelling of 1506064900 in words is "one billion, five hundred six million, sixty-four thousand, nine hundred".