1057825509 has 16 divisors (see below), whose sum is σ = 1521489984. Its totient is φ = 649872000.

The previous prime is 1057825481. The next prime is 1057825519. The reversal of 1057825509 is 9055287501.

It is not a de Polignac number, because 1057825509 - 2¹³ = 1057817317 is a prime.

It is a super-2 number, since 2×1057825509² = 2237989614982218162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057825519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874 + ... + 46004.

It is an arithmetic number, because the mean of its divisors is an integer number (95093124).

Almost surely, 2^1057825509 is an apocalyptic number.

It is an amenable number.

1057825509 is a deficient number, since it is larger than the sum of its proper divisors (463664475).

1057825509 is a wasteful number, since it uses less digits than its factorization.

1057825509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45748.

The product of its (nonzero) digits is 126000, while the sum is 42.

The square root of 1057825509 is about 32524.2295681235. The cubic root of 1057825509 is about 1018.9151316296.

The spelling of 1057825509 in words is "one billion, fifty-seven million, eight hundred twenty-five thousand, five hundred nine".