513032125 has 16 divisors (see below), whose sum is σ = 640926000. Its totient is φ = 410001600.

The previous prime is 513032123. The next prime is 513032141. The reversal of 513032125 is 521230315.

It can be written as a sum of positive squares in 8 ways, for example, as 169078009 + 343954116 = 13003^2 + 18546^2 .

It is not a de Polignac number, because 513032125 - 2¹ = 513032123 is a prime.

It is a super-2 number, since 2×513032125² = 526403922564031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513032096 and 513032105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513032123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185251 + ... + 187999.

It is an arithmetic number, because the mean of its divisors is an integer number (40057875).

Almost surely, 2^513032125 is an apocalyptic number.

It is an amenable number.

513032125 is a deficient number, since it is larger than the sum of its proper divisors (127893875).

513032125 is a wasteful number, since it uses less digits than its factorization.

513032125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 513032125 is about 22650.2124714096. The cubic root of 513032125 is about 800.5372042879.

The spelling of 513032125 in words is "five hundred thirteen million, thirty-two thousand, one hundred twenty-five".