513961938 has 48 divisors (see below), whose sum is σ = 1275019200. Its totient is φ = 146575008.

The previous prime is 513961909. The next prime is 513961957. The reversal of 513961938 is 839169315.

513961938 is a `hidden beast` number, since 513 + 96 + 19 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 513961893 and 513961902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70488 + ... + 77436.

It is an arithmetic number, because the mean of its divisors is an integer number (26562900).

Almost surely, 2^513961938 is an apocalyptic number.

513961938 is an abundant number, since it is smaller than the sum of its proper divisors (761057262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513961938 is a wasteful number, since it uses less digits than its factorization.

513961938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551 (or 7548 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 513961938 is about 22670.7286605438. The cubic root of 513961938 is about 801.0205402767.

The spelling of 513961938 in words is "five hundred thirteen million, nine hundred sixty-one thousand, nine hundred thirty-eight".