512661601164063 has 8 divisors (see below), whose sum is σ = 736129478594608. Its totient is φ = 315484062254784.

The previous prime is 512661601163983. The next prime is 512661601164071. The reversal of 512661601164063 is 360461106166215.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 512661601164063 - 2¹⁴ = 512661601147679 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512661601164463) 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 7 ways as a sum of consecutive naturals, for example, 6572584630270 + ... + 6572584630347.

It is an arithmetic number, because the mean of its divisors is an integer number (92016184824326).

Almost surely, 2^{512661601164063} is an apocalyptic number.

512661601164063 is a deficient number, since it is larger than the sum of its proper divisors (223467877430545).

512661601164063 is a wasteful number, since it uses less digits than its factorization.

512661601164063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13145169260633.

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 512661601164063 in words is "five hundred twelve trillion, six hundred sixty-one billion, six hundred one million, one hundred sixty-four thousand, sixty-three".