10025513200 has 60 divisors (see below), whose sum is σ = 24114603640. Its totient is φ = 4005492480.

The previous prime is 10025513143. The next prime is 10025513213. The reversal of 10025513200 is 231552001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336511 + ... + 365089.

Almost surely, 2^10025513200 is an apocalyptic number.

10025513200 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 10025513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057301820).

10025513200 is an abundant number, since it is smaller than the sum of its proper divisors (14089090440).

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

10025513200 is a wasteful number, since it uses less digits than its factorization.

10025513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29474 (or 29463 counting only the distinct ones).

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

The spelling of 10025513200 in words is "ten billion, twenty-five million, five hundred thirteen thousand, two hundred".