10003251000 has 128 divisors (see below), whose sum is σ = 31259592000. Its totient is φ = 2663308800.

The previous prime is 10003250953. The next prime is 10003251001. The reversal of 10003251000 is 15230001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003251001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196726 + ... + 2201274.

Almost surely, 2^10003251000 is an apocalyptic number.

10003251000 is a gapful number since it is divisible by the number (10) 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 10003251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15629796000).

10003251000 is an abundant number, since it is smaller than the sum of its proper divisors (21256341000).

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

10003251000 is a wasteful number, since it uses less digits than its factorization.

10003251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

Adding to 10003251000 its reverse (15230001), we get a palindrome (10018481001).

It can be divided in two parts, 10003 and 251000, that added together give a triangular number (261003 = T₇₂₂).

The spelling of 10003251000 in words is "ten billion, three million, two hundred fifty-one thousand".