10002513520 has 80 divisors (see below), whose sum is σ = 24514993440. Its totient is φ = 3784983552.

The previous prime is 10002513473. The next prime is 10002513541. The reversal of 10002513520 is 2531520001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146294 + ... + 1154986.

It is an arithmetic number, because the mean of its divisors is an integer number (306437418).

Almost surely, 2^10002513520 is an apocalyptic number.

10002513520 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 10002513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257496720).

10002513520 is an abundant number, since it is smaller than the sum of its proper divisors (14512479920).

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

10002513520 is a wasteful number, since it uses less digits than its factorization.

10002513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9482 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The spelling of 10002513520 in words is "ten billion, two million, five hundred thirteen thousand, five hundred twenty".