1057727361 has 8 divisors (see below), whose sum is σ = 1410903040. Its totient is φ = 704851632.

The previous prime is 1057727329. The next prime is 1057727417. The reversal of 1057727361 is 1637277501.

1057727361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1057727361 - 2⁵ = 1057727329 is a prime.

It is a super-2 number, since 2×1057727361² = 2237574340416048642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057722361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66625 + ... + 80958.

It is an arithmetic number, because the mean of its divisors is an integer number (176362880).

Almost surely, 2^1057727361 is an apocalyptic number.

It is an amenable number.

1057727361 is a deficient number, since it is larger than the sum of its proper divisors (353175679).

1057727361 is a wasteful number, since it uses less digits than its factorization.

1057727361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149975.

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 1057727361 is about 32522.7206887739. The cubic root of 1057727361 is about 1018.8836180594.

The spelling of 1057727361 in words is "one billion, fifty-seven million, seven hundred twenty-seven thousand, three hundred sixty-one".