513106425 has 144 divisors (see below), whose sum is σ = 1072431360. Its totient is φ = 232404480.

The previous prime is 513106423. The next prime is 513106459. The reversal of 513106425 is 524601315.

513106425 is a `hidden beast` number, since 5 + 1 + 3 + 10 + 642 + 5 = 666.

It is not a de Polignac number, because 513106425 - 2¹ = 513106423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513106423) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1950844 + ... + 1951106.

It is an arithmetic number, because the mean of its divisors is an integer number (7447440).

Almost surely, 2^513106425 is an apocalyptic number.

It is an amenable number.

513106425 is an abundant number, since it is smaller than the sum of its proper divisors (559324935).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513106425 is a wasteful number, since it uses less digits than its factorization.

513106425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 513106425 is about 22651.8525732444. The cubic root of 513106425 is about 800.5758484196.

It can be divided in two parts, 513 and 106425, that multiplied together give a triangular number (54596025 = T₁₀₄₄₉).

The spelling of 513106425 in words is "five hundred thirteen million, one hundred six thousand, four hundred twenty-five".