625012128 has 144 divisors (see below), whose sum is σ = 1934956296. Its totient is φ = 190218240.

The previous prime is 625012121. The next prime is 625012183. The reversal of 625012128 is 821210526.

It is a happy number.

625012128 is a `hidden beast` number, since 625 + 0 + 12 + 1 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 486996624 + 138015504 = 22068^2 + 11748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (625012121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362308 + ... + 364028.

Almost surely, 2^625012128 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 625012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967478148).

625012128 is an abundant number, since it is smaller than the sum of its proper divisors (1309944168).

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

625012128 is a wasteful number, since it uses less digits than its factorization.

625012128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 625012128 is about 25000.2425588233. The cubic root of 625012128 is about 854.9935035928.

The spelling of 625012128 in words is "six hundred twenty-five million, twelve thousand, one hundred twenty-eight".