1503500625 has 135 divisors (see below), whose sum is σ = 3047737693. Its totient is φ = 713460000.

The previous prime is 1503500597. The next prime is 1503500641. The reversal of 1503500625 is 5260053051.

The square root of 1503500625 is 38775.

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

1503500625 is a `hidden beast` number, since 1 + 5 + 0 + 35 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117874449 + 1385626176 = 10857^2 + 37224^2 .

It is not a de Polignac number, because 1503500625 - 2⁷ = 1503500497 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 31989352 + ... + 31989398.

Almost surely, 2^1503500625 is an apocalyptic number.

1503500625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1503500625 is the 38775-th square number.

1503500625 is the 19388-th centered octagonal number.

It is an amenable number.

1503500625 is an abundant number, since it is smaller than the sum of its proper divisors (1544237068).

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

1503500625 is an equidigital number, since it uses as much as digits as its factorization.

1503500625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The cubic root of 1503500625 is about 1145.6040430091.

Adding to 1503500625 its reverse (5260053051), we get a palindrome (6763553676).

The spelling of 1503500625 in words is "one billion, five hundred three million, five hundred thousand, six hundred twenty-five".