1503252993 has 32 divisors (see below), whose sum is σ = 2222548992. Its totient is φ = 896184000.

The previous prime is 1503252979. The next prime is 1503253013. The reversal of 1503252993 is 3992523051.

It is a happy number.

It is not a de Polignac number, because 1503252993 - 2²² = 1499058689 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1503252973) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 541896 + ... + 544662.

It is an arithmetic number, because the mean of its divisors is an integer number (69454656).

Almost surely, 2^1503252993 is an apocalyptic number.

It is an amenable number.

1503252993 is a deficient number, since it is larger than the sum of its proper divisors (719295999).

1503252993 is a wasteful number, since it uses less digits than its factorization.

1503252993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045.

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 1503252993 is about 38771.8066770173. The cubic root of 1503252993 is about 1145.5411445104.

It can be divided in two parts, 1503252 and 993, that added together give a triangular number (1504245 = T₁₇₃₄).

The spelling of 1503252993 in words is "one billion, five hundred three million, two hundred fifty-two thousand, nine hundred ninety-three".