512155366641 has 60 divisors (see below), whose sum is σ = 814647842316. Its totient is φ = 319548810240.

The previous prime is 512155366627. The next prime is 512155366643. The reversal of 512155366641 is 146663551215.

It can be written as a sum of positive squares in 6 ways, for example, as 187402410000 + 324752956641 = 432900^2 + 569871^2 .

It is not a de Polignac number, because 512155366641 - 2⁶ = 512155366577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (512155366643) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45106221 + ... + 45117573.

Almost surely, 2^512155366641 is an apocalyptic number.

512155366641 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

512155366641 is a deficient number, since it is larger than the sum of its proper divisors (302492475675).

512155366641 is a wasteful number, since it uses less digits than its factorization.

512155366641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11744 (or 11554 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 512155366641 in words is "five hundred twelve billion, one hundred fifty-five million, three hundred sixty-six thousand, six hundred forty-one".