1057265127 has 24 divisors (see below), whose sum is σ = 1677436800. Its totient is φ = 638711568.

The previous prime is 1057265119. The next prime is 1057265201. The reversal of 1057265127 is 7215627501.

1057265127 is a `hidden beast` number, since 1 + 0 + 572 + 65 + 1 + 27 = 666.

It is not a de Polignac number, because 1057265127 - 2³ = 1057265119 is a prime.

It is a super-2 number, since 2×1057265127² = 2235619097540652258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057265091 and 1057265100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057265527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130477 + ... + 138342.

It is an arithmetic number, because the mean of its divisors is an integer number (69893200).

Almost surely, 2^1057265127 is an apocalyptic number.

1057265127 is a deficient number, since it is larger than the sum of its proper divisors (620171673).

1057265127 is a wasteful number, since it uses less digits than its factorization.

1057265127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268867 (or 268864 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1057265127 is about 32515.6135879365. The cubic root of 1057265127 is about 1018.7351767600.

The spelling of 1057265127 in words is "one billion, fifty-seven million, two hundred sixty-five thousand, one hundred twenty-seven".