1253003521 has 12 divisors (see below), whose sum is σ = 1574022016. Its totient is φ = 976365720.

The previous prime is 1253003519. The next prime is 1253003533.

1253003521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1253003521 - 2¹ = 1253003519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1253003492 and 1253003501.

It is not an unprimeable number, because it can be changed into a prime (1253003561) 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 11 ways as a sum of consecutive naturals, for example, 738825 + ... + 740518.

Almost surely, 2^1253003521 is an apocalyptic number.

1253003521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1253003521 is a deficient number, since it is larger than the sum of its proper divisors (321018495).

1253003521 is a wasteful number, since it uses less digits than its factorization.

1253003521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479372 (or 1479361 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1253003521 is about 35397.7897756343. The cubic root of 1253003521 is about 1078.0794402099.

It can be divided in two parts, 125300 and 3521, that added together give a palindrome (128821).

The spelling of 1253003521 in words is "one billion, two hundred fifty-three million, three thousand, five hundred twenty-one".