1053257100 has 288 divisors, whose sum is σ = 3730761216. Its totient is φ = 223948800.

The previous prime is 1053257087. The next prime is 1053257111. The reversal of 1053257100 is 17523501.

It is a super-2 number, since 2×1053257100² = 2218701037400820000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5819010 + ... + 5819190.

It is an arithmetic number, because the mean of its divisors is an integer number (12954032).

Almost surely, 2^1053257100 is an apocalyptic number.

1053257100 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 1053257100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865380608).

1053257100 is an abundant number, since it is smaller than the sum of its proper divisors (2677504116).

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

1053257100 is a wasteful number, since it uses less digits than its factorization.

1053257100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 1053257100 is about 32453.9227212983. The cubic root of 1053257100 is about 1017.4462258304.

The spelling of 1053257100 in words is "one billion, fifty-three million, two hundred fifty-seven thousand, one hundred".