513508638 has 8 divisors (see below), whose sum is σ = 1027017288. Its totient is φ = 171169544.

The previous prime is 513508631. The next prime is 513508643. The reversal of 513508638 is 836805315.

It is a sphenic number, since it is the product of 3 distinct primes.

513508638 is an admirable number.

It is a super-2 number, since 2×513508638² = 527382242601230088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513508596 and 513508605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513508631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42792381 + ... + 42792392.

It is an arithmetic number, because the mean of its divisors is an integer number (128377161).

Almost surely, 2^513508638 is an apocalyptic number.

513508638 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

513508638 is a wasteful number, since it uses less digits than its factorization.

513508638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85584778.

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 513508638 is about 22660.7289820959. The cubic root of 513508638 is about 800.7849784674.

The spelling of 513508638 in words is "five hundred thirteen million, five hundred eight thousand, six hundred thirty-eight".