1678381509 has 32 divisors (see below), whose sum is σ = 2648350720. Its totient is φ = 925214400.

The previous prime is 1678381499. The next prime is 1678381513. The reversal of 1678381509 is 9051838761.

It is not a de Polignac number, because 1678381509 - 2⁷ = 1678381381 is a prime.

It is a super-3 number, since 3×1678381509³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678381589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211587 + ... + 219375.

It is an arithmetic number, because the mean of its divisors is an integer number (82760960).

Almost surely, 2^1678381509 is an apocalyptic number.

It is an amenable number.

1678381509 is a deficient number, since it is larger than the sum of its proper divisors (969969211).

1678381509 is a wasteful number, since it uses less digits than its factorization.

1678381509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8161.

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 1678381509 is about 40968.0547378076. The cubic root of 1678381509 is about 1188.4025145542.

The spelling of 1678381509 in words is "one billion, six hundred seventy-eight million, three hundred eighty-one thousand, five hundred nine".