511312041 has 32 divisors (see below), whose sum is σ = 783457920. Its totient is φ = 329389632.

The previous prime is 511312027. The next prime is 511312063. The reversal of 511312041 is 140213115.

It is a de Polignac number, because none of the positive numbers 2^k-511312041 is a prime.

It is a super-2 number, since 2×511312041² = 522880006543171362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93211 + ... + 98543.

It is an arithmetic number, because the mean of its divisors is an integer number (24483060).

Almost surely, 2^511312041 is an apocalyptic number.

It is an amenable number.

511312041 is a deficient number, since it is larger than the sum of its proper divisors (272145879).

511312041 is a wasteful number, since it uses less digits than its factorization.

511312041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 511312041 is about 22612.2099981404. The cubic root of 511312041 is about 799.6415274166.

Adding to 511312041 its reverse (140213115), we get a palindrome (651525156).

The spelling of 511312041 in words is "five hundred eleven million, three hundred twelve thousand, forty-one".