1003001145252 has 96 divisors (see below), whose sum is σ = 2442473066880. Its totient is φ = 319952855040.

The previous prime is 1003001145241. The next prime is 1003001145269. The reversal of 1003001145252 is 2525411003001.

It is a happy number.

It is a super-2 number, since 2×1003001145252² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38873668 + ... + 38899460.

It is an arithmetic number, because the mean of its divisors is an integer number (25442427780).

Almost surely, 2^{1003001145252} is an apocalyptic number.

1003001145252 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 1003001145252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221236533440).

1003001145252 is an abundant number, since it is smaller than the sum of its proper divisors (1439471921628).

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

1003001145252 is a wasteful number, since it uses less digits than its factorization.

1003001145252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26813 (or 26811 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 1003001145252 its reverse (2525411003001), we get a palindrome (3528412148253).

The spelling of 1003001145252 in words is "one trillion, three billion, one million, one hundred forty-five thousand, two hundred fifty-two".