10004001252 has 96 divisors (see below), whose sum is σ = 27106464000. Its totient is φ = 2812672512.

The previous prime is 10004001251. The next prime is 10004001263. The reversal of 10004001252 is 25210040001.

It is not an unprimeable number, because it can be changed into a prime (10004001251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1360578 + ... + 1367910.

It is an arithmetic number, because the mean of its divisors is an integer number (282359000).

Almost surely, 2^10004001252 is an apocalyptic number.

10004001252 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 10004001252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553232000).

10004001252 is an abundant number, since it is smaller than the sum of its proper divisors (17102462748).

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

10004001252 is a wasteful number, since it uses less digits than its factorization.

10004001252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7605 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10004001252 its reverse (25210040001), we get a palindrome (35214041253).

The spelling of 10004001252 in words is "ten billion, four million, one thousand, two hundred fifty-two".