1306057181 has 48 divisors (see below), whose sum is σ = 1652338800. Its totient is φ = 1031521920.

The previous prime is 1306057171. The next prime is 1306057183. The reversal of 1306057181 is 1817506031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 836944900 + 469112281 = 28930^2 + 21659^2 .

It is not a de Polignac number, because 1306057181 - 2²⁶ = 1238948317 is a prime.

It is a super-2 number, since 2×1306057181² = 3411570720083333522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306057183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76826885 + ... + 76826901.

It is an arithmetic number, because the mean of its divisors is an integer number (34423725).

Almost surely, 2^1306057181 is an apocalyptic number.

1306057181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1306057181 is a deficient number, since it is larger than the sum of its proper divisors (346281619).

1306057181 is an frugal number, since it uses more digits than its factorization.

1306057181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 1306057181 is about 36139.4131247313. The cubic root of 1306057181 is about 1093.0853249580.

The spelling of 1306057181 in words is "one billion, three hundred six million, fifty-seven thousand, one hundred eighty-one".