511255323552115 has 32 divisors (see below), whose sum is σ = 624408697149120. Its totient is φ = 401747375040000.

The previous prime is 511255323552053. The next prime is 511255323552131.

511255323552115 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-511255323552115 is a prime.

It is a super-2 number, since 2×511255323552115² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944537165 + ... + 1944800065.

It is an arithmetic number, because the mean of its divisors is an integer number (19512771785910).

Almost surely, 2^{511255323552115} is an apocalyptic number.

511255323552115 is a deficient number, since it is larger than the sum of its proper divisors (113153373597005).

511255323552115 is a wasteful number, since it uses less digits than its factorization.

511255323552115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268263.

The product of its digits is 1125000, while the sum is 46.

The spelling of 511255323552115 in words is "five hundred eleven trillion, two hundred fifty-five billion, three hundred twenty-three million, five hundred fifty-two thousand, one hundred fifteen".