1007271252 has 72 divisors (see below), whose sum is σ = 2746137576. Its totient is φ = 309464064.

The previous prime is 1007271217. The next prime is 1007271257. The reversal of 1007271252 is 2521727001.

1007271252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8964036 + 998307216 = 2994^2 + 31596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007271257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437368 + ... + 439664.

Almost surely, 2^1007271252 is an apocalyptic number.

1007271252 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 1007271252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373068788).

1007271252 is an abundant number, since it is smaller than the sum of its proper divisors (1738866324).

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

1007271252 is a wasteful number, since it uses less digits than its factorization.

1007271252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1007271252 is about 31737.5369554728. The cubic root of 1007271252 is about 1002.4178997158.

Adding to 1007271252 its reverse (2521727001), we get a palindrome (3528998253).

The spelling of 1007271252 in words is "one billion, seven million, two hundred seventy-one thousand, two hundred fifty-two".