10053252000 has 576 divisors, whose sum is σ = 39739714560. Its totient is φ = 2386176000.

The previous prime is 10053251993. The next prime is 10053252007. The reversal of 10053252000 is 25235001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10053251993) and next prime (10053252007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10053252007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20987761 + ... + 20988239.

It is an arithmetic number, because the mean of its divisors is an integer number (68992560).

Almost surely, 2^10053252000 is an apocalyptic number.

10053252000 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 10053252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19869857280).

10053252000 is an abundant number, since it is smaller than the sum of its proper divisors (29686462560).

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

10053252000 is a wasteful number, since it uses less digits than its factorization.

10053252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 10053252000 its reverse (25235001), we get a palindrome (10078487001).

The spelling of 10053252000 in words is "ten billion, fifty-three million, two hundred fifty-two thousand".