515115441 has 48 divisors (see below), whose sum is σ = 808704000. Its totient is φ = 314911584.

The previous prime is 515115439. The next prime is 515115457. The reversal of 515115441 is 144511515.

It is not a de Polignac number, because 515115441 - 2¹ = 515115439 is a prime.

It is a super-3 number, since 3×515115441³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (515115401) 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, 859660 + ... + 860258.

It is an arithmetic number, because the mean of its divisors is an integer number (16848000).

Almost surely, 2^515115441 is an apocalyptic number.

It is an amenable number.

515115441 is a deficient number, since it is larger than the sum of its proper divisors (293588559).

515115441 is a wasteful number, since it uses less digits than its factorization.

515115441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 775 counting only the distinct ones).

The product of its digits is 2000, while the sum is 27.

The square root of 515115441 is about 22696.1547624262. The cubic root of 515115441 is about 801.6193454595.

Adding to 515115441 its reverse (144511515), we get a palindrome (659626956).

The spelling of 515115441 in words is "five hundred fifteen million, one hundred fifteen thousand, four hundred forty-one".