1201731585 has 16 divisors (see below), whose sum is σ = 1984796160. Its totient is φ = 620248320.

The previous prime is 1201731569. The next prime is 1201731599. The reversal of 1201731585 is 5851371021.

It is not a de Polignac number, because 1201731585 - 2⁴ = 1201731569 is a prime.

It is a super-2 number, since 2×1201731585² = 2888317604773224450, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291720 + ... + 1292649.

It is an arithmetic number, because the mean of its divisors is an integer number (124049760).

Almost surely, 2^1201731585 is an apocalyptic number.

1201731585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1201731585 is a deficient number, since it is larger than the sum of its proper divisors (783064575).

1201731585 is a wasteful number, since it uses less digits than its factorization.

1201731585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584408.

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 1201731585 is about 34666.0004182773. Note that the first 3 decimals coincide. The cubic root of 1201731585 is about 1063.1694578701.

The spelling of 1201731585 in words is "one billion, two hundred one million, seven hundred thirty-one thousand, five hundred eighty-five".