513128525 has 48 divisors (see below), whose sum is σ = 786866304. Its totient is φ = 323239680.

The previous prime is 513128519. The next prime is 513128531. The reversal of 513128525 is 525821315.

It is an interprime number because it is at equal distance from previous prime (513128519) and next prime (513128531).

It is not a de Polignac number, because 513128525 - 2¹⁰ = 513127501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513128491 and 513128500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643427 + ... + 644223.

It is an arithmetic number, because the mean of its divisors is an integer number (16393048).

Almost surely, 2^513128525 is an apocalyptic number.

It is an amenable number.

513128525 is a deficient number, since it is larger than the sum of its proper divisors (273737779).

513128525 is a wasteful number, since it uses less digits than its factorization.

513128525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1105 counting only the distinct ones).

The product of its digits is 12000, while the sum is 32.

The square root of 513128525 is about 22652.3403868121. The cubic root of 513128525 is about 800.5873421185.

The spelling of 513128525 in words is "five hundred thirteen million, one hundred twenty-eight thousand, five hundred twenty-five".