511006312460 has 48 divisors (see below), whose sum is σ = 1247201867520. Its totient is φ = 172232633280.

The previous prime is 511006312447. The next prime is 511006312469. The reversal of 511006312460 is 64213600115.

It is a happy number.

It is a super-2 number, since 2×511006312460² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511006312469) 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 15 ways as a sum of consecutive naturals, for example, 30924326 + ... + 30940845.

It is an arithmetic number, because the mean of its divisors is an integer number (25983372240).

Almost surely, 2^511006312460 is an apocalyptic number.

It is an amenable number.

511006312460 is an abundant number, since it is smaller than the sum of its proper divisors (736195555060).

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

511006312460 is a wasteful number, since it uses less digits than its factorization.

511006312460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61865246 (or 61865244 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 511006312460 its reverse (64213600115), we get a palindrome (575219912575).

The spelling of 511006312460 in words is "five hundred eleven billion, six million, three hundred twelve thousand, four hundred sixty".