513142310 has 32 divisors (see below), whose sum is σ = 973956960. Its totient is φ = 194116608.

The previous prime is 513142277. The next prime is 513142337. The reversal of 513142310 is 13241315.

It is a super-2 number, since 2×513142310² = 526630060624272200, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 125864 + ... + 129876.

It is an arithmetic number, because the mean of its divisors is an integer number (30436155).

Almost surely, 2^513142310 is an apocalyptic number.

513142310 is a deficient number, since it is larger than the sum of its proper divisors (460814650).

513142310 is a wasteful number, since it uses less digits than its factorization.

513142310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 513142310 is about 22652.6446579643. The cubic root of 513142310 is about 800.5945112111.

Adding to 513142310 its reverse (13241315), we get a palindrome (526383625).

The spelling of 513142310 in words is "five hundred thirteen million, one hundred forty-two thousand, three hundred ten".