1601165587 has 48 divisors (see below), whose sum is σ = 2093506560. Its totient is φ = 1192133376.

The previous prime is 1601165557. The next prime is 1601165609. The reversal of 1601165587 is 7855611061.

It is not a de Polignac number, because 1601165587 - 2¹⁹ = 1600641299 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1601165507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4180398 + ... + 4180780.

It is an arithmetic number, because the mean of its divisors is an integer number (43614720).

Almost surely, 2^1601165587 is an apocalyptic number.

1601165587 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1601165587 is a deficient number, since it is larger than the sum of its proper divisors (492340973).

1601165587 is a wasteful number, since it uses less digits than its factorization.

1601165587 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 40.

The square root of 1601165587 is about 40014.5671849640. The cubic root of 1601165587 is about 1169.8910427671.

The spelling of 1601165587 in words is "one billion, six hundred one million, one hundred sixty-five thousand, five hundred eighty-seven".