1659288961 has 16 divisors (see below), whose sum is σ = 1925104320. Its totient is φ = 1413422080.

The previous prime is 1659288959. The next prime is 1659288971. The reversal of 1659288961 is 1698829561.

It is a cyclic number.

It is not a de Polignac number, because 1659288961 - 2¹ = 1659288959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1659288941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22905 + ... + 61993.

It is an arithmetic number, because the mean of its divisors is an integer number (120319020).

Almost surely, 2^1659288961 is an apocalyptic number.

1659288961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1659288961 is a deficient number, since it is larger than the sum of its proper divisors (265815359).

1659288961 is a wasteful number, since it uses less digits than its factorization.

1659288961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39344.

The product of its digits is 1866240, while the sum is 55.

The square root of 1659288961 is about 40734.3707573837. The cubic root of 1659288961 is about 1183.8790662888.

The spelling of 1659288961 in words is "one billion, six hundred fifty-nine million, two hundred eighty-eight thousand, nine hundred sixty-one".