531505010201 has 48 divisors (see below), whose sum is σ = 612005683968. Its totient is φ = 457721325600.

The previous prime is 531505010177. The next prime is 531505010209. The reversal of 531505010201 is 102010505135.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-531505010201 is a prime.

It is a super-2 number, since 2×531505010201² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (531505010209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278711690 + ... + 278713596.

It is an arithmetic number, because the mean of its divisors is an integer number (12750118416).

Almost surely, 2^531505010201 is an apocalyptic number.

It is an amenable number.

531505010201 is a deficient number, since it is larger than the sum of its proper divisors (80500673767).

531505010201 is a wasteful number, since it uses less digits than its factorization.

531505010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 531505010201 its reverse (102010505135), we get a palindrome (633515515336).

The spelling of 531505010201 in words is "five hundred thirty-one billion, five hundred five million, ten thousand, two hundred one".