1053187200 has 576 divisors, whose sum is σ = 4229807400. Its totient is φ = 247726080.

The previous prime is 1053187153. The next prime is 1053187217. The reversal of 1053187200 is 27813501.

It can be written as a sum of positive squares in 12 ways, for example, as 1871424 + 1051315776 = 1368^2 + 32424^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×1053187200³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10857552 + ... + 10857648.

Almost surely, 2^1053187200 is an apocalyptic number.

1053187200 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 1053187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114903700).

1053187200 is an abundant number, since it is smaller than the sum of its proper divisors (3176620200).

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

1053187200 is a wasteful number, since it uses less digits than its factorization.

1053187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1053187200 is about 32452.8457920103. The cubic root of 1053187200 is about 1017.4237175354.

It can be divided in two parts, 1053 and 187200, that multiplied together give a square (197121600 = 14040²).

The spelling of 1053187200 in words is "one billion, fifty-three million, one hundred eighty-seven thousand, two hundred".