1053251400 has 96 divisors (see below), whose sum is σ = 3270103200. Its totient is φ = 280435200.

The previous prime is 1053251389. The next prime is 1053251411. The reversal of 1053251400 is 41523501.

It is an interprime number because it is at equal distance from previous prime (1053251389) and next prime (1053251411).

It is a super-2 number, since 2×1053251400² = 2218677023203920000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653796 + ... + 655404.

It is an arithmetic number, because the mean of its divisors is an integer number (34063575).

Almost surely, 2^1053251400 is an apocalyptic number.

1053251400 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 1053251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635051600).

1053251400 is an abundant number, since it is smaller than the sum of its proper divisors (2216851800).

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

1053251400 is a wasteful number, since it uses less digits than its factorization.

1053251400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1053251400 is about 32453.8349043684. The cubic root of 1053251400 is about 1017.4443904273. Note that the first 3 decimals are identical.

Adding to 1053251400 its reverse (41523501), we get a palindrome (1094774901).

The spelling of 1053251400 in words is "one billion, fifty-three million, two hundred fifty-one thousand, four hundred".