1601468505 has 144 divisors (see below), whose sum is σ = 3494275200. Its totient is φ = 664215552.

The previous prime is 1601468503. The next prime is 1601468507. The reversal of 1601468505 is 5058641061.

1601468505 is a `hidden beast` number, since 1 + 6 + 0 + 146 + 8 + 505 = 666.

It is an interprime number because it is at equal distance from previous prime (1601468503) and next prime (1601468507).

It is not a de Polignac number, because 1601468505 - 2¹ = 1601468503 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1601468505.

It is not an unprimeable number, because it can be changed into a prime (1601468503) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3566521 + ... + 3566969.

It is an arithmetic number, because the mean of its divisors is an integer number (24265800).

Almost surely, 2^1601468505 is an apocalyptic number.

1601468505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1601468505 is an abundant number, since it is smaller than the sum of its proper divisors (1892806695).

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

1601468505 is a wasteful number, since it uses less digits than its factorization.

1601468505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1601468505 is about 40018.3521025042. The cubic root of 1601468505 is about 1169.9648137566.

The spelling of 1601468505 in words is "one billion, six hundred one million, four hundred sixty-eight thousand, five hundred five".