513001010 has 48 divisors (see below), whose sum is σ = 1014905160. Its totient is φ = 186439680.

The previous prime is 513000919. The next prime is 513001063. The reversal of 513001010 is 10100315.

It can be written as a sum of positive squares in 12 ways, for example, as 81234169 + 431766841 = 9013^2 + 20779^2 .

It is a super-2 number, since 2×513001010² = 526340072522040200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513000982 and 513001000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80750 + ... + 86870.

Almost surely, 2^513001010 is an apocalyptic number.

513001010 is a deficient number, since it is larger than the sum of its proper divisors (501904150).

513001010 is a wasteful number, since it uses less digits than its factorization.

513001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 513001010 is about 22649.5256020960. The cubic root of 513001010 is about 800.5210199741.

Adding to 513001010 its reverse (10100315), we get a palindrome (523101325).

The spelling of 513001010 in words is "five hundred thirteen million, one thousand, ten".