513106331 has 8 divisors (see below), whose sum is σ = 518471520. Its totient is φ = 507768768.

The previous prime is 513106283. The next prime is 513106337. The reversal of 513106331 is 133601315.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513106331 is a prime.

It is a super-2 number, since 2×513106331² = 526556213824563122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513106297 and 513106306.

It is not an unprimeable number, because it can be changed into a prime (513106337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31535 + ... + 44951.

It is an arithmetic number, because the mean of its divisors is an integer number (64808940).

Almost surely, 2^513106331 is an apocalyptic number.

513106331 is a deficient number, since it is larger than the sum of its proper divisors (5365189).

513106331 is a wasteful number, since it uses less digits than its factorization.

513106331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13813.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 513106331 is about 22651.8504983588. The cubic root of 513106331 is about 800.5757995317.

Adding to 513106331 its reverse (133601315), we get a palindrome (646707646).

The spelling of 513106331 in words is "five hundred thirteen million, one hundred six thousand, three hundred thirty-one".