1055580309 has 64 divisors (see below), whose sum is σ = 1859136000. Its totient is φ = 579845952.

The previous prime is 1055580271. The next prime is 1055580341. The reversal of 1055580309 is 9030855501.

It is a happy number.

It is not a de Polignac number, because 1055580309 - 2¹⁶ = 1055514773 is a prime.

It is a super-2 number, since 2×1055580309² = 2228499577497070962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055580509) 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 63 ways as a sum of consecutive naturals, for example, 4609407 + ... + 4609635.

It is an arithmetic number, because the mean of its divisors is an integer number (29049000).

Almost surely, 2^1055580309 is an apocalyptic number.

It is an amenable number.

1055580309 is a deficient number, since it is larger than the sum of its proper divisors (803555691).

1055580309 is an frugal number, since it uses more digits than its factorization.

1055580309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 1055580309 is about 32489.6954279353. The cubic root of 1055580309 is about 1018.1937496860.

The spelling of 1055580309 in words is "one billion, fifty-five million, five hundred eighty thousand, three hundred nine".