1053312400 has 60 divisors (see below), whose sum is σ = 2892102592. Its totient is φ = 361134720.

The previous prime is 1053312397. The next prime is 1053312457. The reversal of 1053312400 is 42133501.

It is a super-2 number, since 2×1053312400² = 2218934023987520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185292 + ... + 190891.

Almost surely, 2^1053312400 is an apocalyptic number.

1053312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053312400 is an abundant number, since it is smaller than the sum of its proper divisors (1838790192).

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

1053312400 is a wasteful number, since it uses less digits than its factorization.

1053312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376208 (or 376197 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1053312400 is about 32454.7746872475. The cubic root of 1053312400 is about 1017.4640321164.

Adding to 1053312400 its reverse (42133501), we get a palindrome (1095445901).

The spelling of 1053312400 in words is "one billion, fifty-three million, three hundred twelve thousand, four hundred".