505106032042145 has 32 divisors (see below), whose sum is σ = 617797448352000. Its totient is φ = 396335796240384.

The previous prime is 505106032042121. The next prime is 505106032042189. The reversal of 505106032042145 is 541240230601505.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505106032042145 is a prime.

It is a super-2 number, since 2×505106032042145² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505106032042099 and 505106032042108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4380626564 + ... + 4380741866.

It is an arithmetic number, because the mean of its divisors is an integer number (19306170261000).

Almost surely, 2^{505106032042145} is an apocalyptic number.

It is an amenable number.

505106032042145 is a deficient number, since it is larger than the sum of its proper divisors (112691416309855).

505106032042145 is a wasteful number, since it uses less digits than its factorization.

505106032042145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148889.

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 505106032042145 in words is "five hundred five trillion, one hundred six billion, thirty-two million, forty-two thousand, one hundred forty-five".