1053851600 has 30 divisors (see below), whose sum is σ = 2531879430. Its totient is φ = 421540480.

The previous prime is 1053851593. The next prime is 1053851657. The reversal of 1053851600 is 61583501.

It can be written as a sum of positive squares in 3 ways, for example, as 63616576 + 990235024 = 7976^2 + 31468^2 .

It is a super-2 number, since 2×1053851600² = 2221206389645120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1316915 + ... + 1317714.

It is an arithmetic number, because the mean of its divisors is an integer number (84395981).

Almost surely, 2^1053851600 is an apocalyptic number.

1053851600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053851600 is an abundant number, since it is smaller than the sum of its proper divisors (1478027830).

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

1053851600 is a wasteful number, since it uses less digits than its factorization.

1053851600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634647 (or 2634636 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 1053851600 is about 32463.0805685474. The cubic root of 1053851600 is about 1017.6376188000.

The spelling of 1053851600 in words is "one billion, fifty-three million, eight hundred fifty-one thousand, six hundred".