1057135800 has 288 divisors, whose sum is σ = 3909593520. Its totient is φ = 235468800.

The previous prime is 1057135799. The next prime is 1057135801. The reversal of 1057135800 is 85317501.

1057135800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1057135799) and next prime (1057135801).

It is a super-2 number, since 2×1057135800² = 2235072199283280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057135801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1204962 + ... + 1205838.

Almost surely, 2^1057135800 is an apocalyptic number.

1057135800 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 1057135800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954796760).

1057135800 is an abundant number, since it is smaller than the sum of its proper divisors (2852457720).

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

1057135800 is a wasteful number, since it uses less digits than its factorization.

1057135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 1057135800 is about 32513.6248363667. The cubic root of 1057135800 is about 1018.6936370890.

The spelling of 1057135800 in words is "one billion, fifty-seven million, one hundred thirty-five thousand, eight hundred".