625550120 has 192 divisors, whose sum is σ = 1629739440. Its totient is φ = 215654400.

The previous prime is 625550089. The next prime is 625550143. The reversal of 625550120 is 21055526.

It is a Cunningham number, because it is equal to 25011²-1.

It can be written as a sum of positive squares in 24 ways, for example, as 333208516 + 292341604 = 18254^2 + 17098^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 625550120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10254890 + ... + 10254950.

Almost surely, 2^625550120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814869720).

625550120 is an abundant number, since it is smaller than the sum of its proper divisors (1004189320).

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

625550120 is a wasteful number, since it uses less digits than its factorization.

625550120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 625550120 is about 25010.9999800088. Note that the first 4 decimals coincide. The cubic root of 625550120 is about 855.2387509667.

The spelling of 625550120 in words is "six hundred twenty-five million, five hundred fifty thousand, one hundred twenty".