515941418961 has 32 divisors (see below), whose sum is σ = 844507710720. Its totient is φ = 309652814592.

The previous prime is 515941418957. The next prime is 515941418969. The reversal of 515941418961 is 169814149515.

515941418961 is a `hidden beast` number, since 5 + 1 + 594 + 1 + 41 + 8 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 515941418961 - 2² = 515941418957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 515941418898 and 515941418907.

It is not an unprimeable number, because it can be changed into a prime (515941418969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24425430 + ... + 24446543.

It is an arithmetic number, because the mean of its divisors is an integer number (26390865960).

Almost surely, 2^515941418961 is an apocalyptic number.

515941418961 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

515941418961 is a deficient number, since it is larger than the sum of its proper divisors (328566291759).

515941418961 is a wasteful number, since it uses less digits than its factorization.

515941418961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48872022 (or 48872016 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 54.

The spelling of 515941418961 in words is "five hundred fifteen billion, nine hundred forty-one million, four hundred eighteen thousand, nine hundred sixty-one".