511157585751115 has 16 divisors (see below), whose sum is σ = 615055465354176. Its totient is φ = 407815238332800.

The previous prime is 511157585751083. The next prime is 511157585751221.

511157585751115 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 511157585751115 - 2⁵ = 511157585751083 is a prime.

It is a super-2 number, since 2×511157585751115² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 511157585751115.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47694730 + ... + 57420400.

It is an arithmetic number, because the mean of its divisors is an integer number (38440966584636).

Almost surely, 2^{511157585751115} is an apocalyptic number.

511157585751115 is a deficient number, since it is larger than the sum of its proper divisors (103897879603061).

511157585751115 is a wasteful number, since it uses less digits than its factorization.

511157585751115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754230.

The product of its digits is 6125000, while the sum is 58.

The spelling of 511157585751115 in words is "five hundred eleven trillion, one hundred fifty-seven billion, five hundred eighty-five million, seven hundred fifty-one thousand, one hundred fifteen".