511052442561 has 32 divisors (see below), whose sum is σ = 776601383040. Its totient is φ = 331954502400.

The previous prime is 511052442529. The next prime is 511052442583. The reversal of 511052442561 is 165244250115.

511052442561 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 52 + 4 + 42 + 561 = 666.

It is not a de Polignac number, because 511052442561 - 2⁵ = 511052442529 is a prime.

It is a super-2 number, since 2×511052442561² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511052442161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539106 + ... + 1145748.

It is an arithmetic number, because the mean of its divisors is an integer number (24268793220).

Almost surely, 2^511052442561 is an apocalyptic number.

It is an amenable number.

511052442561 is a deficient number, since it is larger than the sum of its proper divisors (265548940479).

511052442561 is a wasteful number, since it uses less digits than its factorization.

511052442561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607454 (or 607448 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 511052442561 its reverse (165244250115), we get a palindrome (676296692676).

The spelling of 511052442561 in words is "five hundred eleven billion, fifty-two million, four hundred forty-two thousand, five hundred sixty-one".