616510125 has 144 divisors (see below), whose sum is σ = 1398249216. Its totient is φ = 255816000.

The previous prime is 616510109. The next prime is 616510127. The reversal of 616510125 is 521015616.

It is a happy number.

616510125 is a `hidden beast` number, since 6 + 1 + 651 + 0 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 616510125 - 2⁴ = 616510109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616510127) 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, 952552 + ... + 953198.

It is an arithmetic number, because the mean of its divisors is an integer number (9710064).

Almost surely, 2^616510125 is an apocalyptic number.

It is an amenable number.

616510125 is an abundant number, since it is smaller than the sum of its proper divisors (781739091).

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

616510125 is a wasteful number, since it uses less digits than its factorization.

616510125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 616510125 is about 24829.6219262396. The cubic root of 616510125 is about 851.0989821822.

It can be divided in two parts, 6165 and 10125, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 616510125 in words is "six hundred sixteen million, five hundred ten thousand, one hundred twenty-five".