513166142511 has 48 divisors (see below), whose sum is σ = 844556469120. Its totient is φ = 297475104960.

The previous prime is 513166142501. The next prime is 513166142549. The reversal of 513166142511 is 115241661315.

513166142511 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 6 + 614 + 25 + 11 = 666.

It is not a de Polignac number, because 513166142511 - 2²⁶ = 513099033647 is a prime.

It is a super-2 number, since 2×513166142511² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513166142501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971125 + ... + 1403358.

It is an arithmetic number, because the mean of its divisors is an integer number (17594926440).

Almost surely, 2^513166142511 is an apocalyptic number.

513166142511 is a deficient number, since it is larger than the sum of its proper divisors (331390326609).

513166142511 is a wasteful number, since it uses less digits than its factorization.

513166142511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374596 (or 2374593 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 513166142511 in words is "five hundred thirteen billion, one hundred sixty-six million, one hundred forty-two thousand, five hundred eleven".