10251013000 has 128 divisors (see below), whose sum is σ = 25379452800. Its totient is φ = 3864672000.

The previous prime is 10251012983. The next prime is 10251013013. The reversal of 10251013000 is 31015201.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4007722 + ... + 4010278.

It is an arithmetic number, because the mean of its divisors is an integer number (198276975).

Almost surely, 2^10251013000 is an apocalyptic number.

10251013000 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 10251013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12689726400).

10251013000 is an abundant number, since it is smaller than the sum of its proper divisors (15128439800).

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

10251013000 is a wasteful number, since it uses less digits than its factorization.

10251013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 10251013000 its reverse (31015201), we get a palindrome (10282028201).

The spelling of 10251013000 in words is "ten billion, two hundred fifty-one million, thirteen thousand".