1559085540 has 48 divisors (see below), whose sum is σ = 4420711680. Its totient is φ = 410492160.

The previous prime is 1559085509. The next prime is 1559085547. The reversal of 1559085540 is 455809551.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1559085492 and 1559085501.

It is not an unprimeable number, because it can be changed into a prime (1559085547) 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 15 ways as a sum of consecutive naturals, for example, 159721 + ... + 169200.

It is an arithmetic number, because the mean of its divisors is an integer number (92098160).

Almost surely, 2^1559085540 is an apocalyptic number.

1559085540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1559085540 is an abundant number, since it is smaller than the sum of its proper divisors (2861626140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1559085540 is a wasteful number, since it uses less digits than its factorization.

1559085540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329012 (or 329010 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 42.

The square root of 1559085540 is about 39485.2572487505. The cubic root of 1559085540 is about 1159.5513375875.

The spelling of 1559085540 in words is "one billion, five hundred fifty-nine million, eighty-five thousand, five hundred forty".