1057212135 has 128 divisors (see below), whose sum is σ = 2264924160. Its totient is φ = 457446528.

The previous prime is 1057212083. The next prime is 1057212151. The reversal of 1057212135 is 5312127501.

It is not a de Polignac number, because 1057212135 - 2⁶ = 1057212071 is a prime.

It is a super-2 number, since 2×1057212135² = 2235394996782516450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1057212099 and 1057212108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2760154 + ... + 2760536.

It is an arithmetic number, because the mean of its divisors is an integer number (17694720).

Almost surely, 2^1057212135 is an apocalyptic number.

1057212135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1057212135 is an abundant number, since it is smaller than the sum of its proper divisors (1207712025).

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

1057212135 is a wasteful number, since it uses less digits than its factorization.

1057212135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1057212135 is about 32514.7987076654. The cubic root of 1057212135 is about 1018.7181562054.

Adding to 1057212135 its reverse (5312127501), we get a palindrome (6369339636).

The spelling of 1057212135 in words is "one billion, fifty-seven million, two hundred twelve thousand, one hundred thirty-five".