1057485361 has 9 divisors (see below), whose sum is σ = 1093740843. Its totient is φ = 1022397360.

The previous prime is 1057485349. The next prime is 1057485371. The reversal of 1057485361 is 1635847501.

It is a happy number.

The square root of 1057485361 is 32519.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 959078961 + 98406400 = 30969^2 + 9920^2 .

It is not a de Polignac number, because 1057485361 - 2¹⁵ = 1057452593 is a prime.

It is a super-2 number, since 2×1057485361² = 2236550577458600642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057485311) 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 8 ways as a sum of consecutive naturals, for example, 1007565 + ... + 1008613.

Almost surely, 2^1057485361 is an apocalyptic number.

1057485361 is the 32519-th square number.

1057485361 is the 16260-th centered octagonal number.

It is an amenable number.

1057485361 is a deficient number, since it is larger than the sum of its proper divisors (36255482).

1057485361 is an frugal number, since it uses more digits than its factorization.

1057485361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The cubic root of 1057485361 is about 1018.8059078505.

The spelling of 1057485361 in words is "one billion, fifty-seven million, four hundred eighty-five thousand, three hundred sixty-one".