1053036400 has 120 divisors (see below), whose sum is σ = 2818882080. Its totient is φ = 375352320.

The previous prime is 1053036379. The next prime is 1053036409. The reversal of 1053036400 is 46303501.

1053036400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053036400² = 2217771319449920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053036409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147309 + ... + 154291.

It is an arithmetic number, because the mean of its divisors is an integer number (23490684).

Almost surely, 2^1053036400 is an apocalyptic number.

1053036400 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 1053036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409441040).

1053036400 is an abundant number, since it is smaller than the sum of its proper divisors (1765845680).

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

1053036400 is a wasteful number, since it uses less digits than its factorization.

1053036400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1053036400 is about 32450.5223378608. The cubic root of 1053036400 is about 1017.3751554754.

Adding to 1053036400 its reverse (46303501), we get a palindrome (1099339901).

The spelling of 1053036400 in words is "one billion, fifty-three million, thirty-six thousand, four hundred".