677503125 has 144 divisors (see below), whose sum is σ = 1407566160. Its totient is φ = 311040000.

The previous prime is 677503117. The next prime is 677503163. The reversal of 677503125 is 521305776.

It can be written as a sum of positive squares in 24 ways, for example, as 617920164 + 59582961 = 24858^2 + 7719^2 .

It is not a de Polignac number, because 677503125 - 2³ = 677503117 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 677503125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6215571 + ... + 6215679.

It is an arithmetic number, because the mean of its divisors is an integer number (9774765).

Almost surely, 2^677503125 is an apocalyptic number.

677503125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

677503125 is an abundant number, since it is smaller than the sum of its proper divisors (730063035).

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

677503125 is a wasteful number, since it uses less digits than its factorization.

677503125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 677503125 is about 26028.8901991614. The cubic root of 677503125 is about 878.2883071190.

The spelling of 677503125 in words is "six hundred seventy-seven million, five hundred three thousand, one hundred twenty-five".