1053251131200 has 252 divisors, whose sum is σ = 3499935677280. Its totient is φ = 277303802880.

The previous prime is 1053251131199. The next prime is 1053251131237. The reversal of 1053251131200 is 21311523501.

1053251131200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053251131200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29939221 + ... + 29974379.

It is an arithmetic number, because the mean of its divisors is an integer number (13888633640).

Almost surely, 2^{1053251131200} is an apocalyptic number.

1053251131200 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 1053251131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749967838640).

1053251131200 is an abundant number, since it is smaller than the sum of its proper divisors (2446684546080).

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

1053251131200 is an equidigital number, since it uses as much as digits as its factorization.

1053251131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35342 (or 35248 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 1053251131200 its reverse (21311523501), we get a palindrome (1074562654701).

The spelling of 1053251131200 in words is "one trillion, fifty-three billion, two hundred fifty-one million, one hundred thirty-one thousand, two hundred".