1505503272 has 512 divisors, whose sum is σ = 5364817920. Its totient is φ = 340623360.

The previous prime is 1505503253. The next prime is 1505503283. The reversal of 1505503272 is 2723055051.

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 127 ways as a sum of consecutive naturals, for example, 35011683 + ... + 35011725.

It is an arithmetic number, because the mean of its divisors is an integer number (10478160).

Almost surely, 2^1505503272 is an apocalyptic number.

1505503272 is a gapful number since it is divisible by the number (12) 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 1505503272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682408960).

1505503272 is an abundant number, since it is smaller than the sum of its proper divisors (3859314648).

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

1505503272 is a wasteful number, since it uses less digits than its factorization.

1505503272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 1505503272 is about 38800.8153522577. The cubic root of 1505503272 is about 1146.1124615137.

The spelling of 1505503272 in words is "one billion, five hundred five million, five hundred three thousand, two hundred seventy-two".