587018001241 has 9 divisors (see below), whose sum is σ = 682863913791. Its totient is φ = 503153689752.

The previous prime is 587018001233. The next prime is 587018001287. The reversal of 587018001241 is 142100810785.

The square root of 587018001241 is 766171.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 120523537225 + 466494464016 = 347165^2 + 683004^2 .

It is not a de Polignac number, because 587018001241 - 2³ = 587018001233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 587018001241.

It is not an unprimeable number, because it can be changed into a prime (587018001341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5308471 + ... + 5417923.

It is an arithmetic number, because the mean of its divisors is an integer number (75873768199).

Almost surely, 2^587018001241 is an apocalyptic number.

587018001241 is the 766171-st square number.

587018001241 is the 383086-th centered octagonal number.

It is an amenable number.

587018001241 is a deficient number, since it is larger than the sum of its proper divisors (95845912550).

587018001241 is an frugal number, since it uses more digits than its factorization.

587018001241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218920 (or 109460 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 37.

The spelling of 587018001241 in words is "five hundred eighty-seven billion, eighteen million, one thousand, two hundred forty-one".