1252133521 has 8 divisors (see below), whose sum is σ = 1339458120. Its totient is φ = 1166327808.

The previous prime is 1252133507. The next prime is 1252133537. The reversal of 1252133521 is 1253312521.

It can be written as a sum of positive squares in 4 ways, for example, as 157251600 + 1094881921 = 12540^2 + 33089^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1252133521 - 2²¹ = 1250036369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1252133221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378016 + ... + 381313.

It is an arithmetic number, because the mean of its divisors is an integer number (167432265).

Almost surely, 2^1252133521 is an apocalyptic number.

It is an amenable number.

1252133521 is a deficient number, since it is larger than the sum of its proper divisors (87324599).

1252133521 is an equidigital number, since it uses as much as digits as its factorization.

1252133521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759443.

The product of its digits is 1800, while the sum is 25.

The square root of 1252133521 is about 35385.4987388902. The cubic root of 1252133521 is about 1077.8298675473.

The spelling of 1252133521 in words is "one billion, two hundred fifty-two million, one hundred thirty-three thousand, five hundred twenty-one".