616280625 has 45 divisors (see below), whose sum is σ = 1115743629. Its totient is φ = 327690000.

The previous prime is 616280611. The next prime is 616280627. The reversal of 616280625 is 526082616.

The square root of 616280625 is 24825.

It is a perfect power (a square), and thus also a powerful number.

616280625 is a `hidden beast` number, since 6 + 1 + 6 + 28 + 0 + 625 = 666.

616280625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 48316401 + 567964224 = 6951^2 + 23832^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 616280625 - 2⁹ = 616280113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 616280625.

It is not an unprimeable number, because it can be changed into a prime (616280627) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1861710 + ... + 1862040.

Almost surely, 2^616280625 is an apocalyptic number.

616280625 is the 24825-th square number.

616280625 is the 12413-rd centered octagonal number.

It is an amenable number.

616280625 is a deficient number, since it is larger than the sum of its proper divisors (499463004).

616280625 is an frugal number, since it uses more digits than its factorization.

616280625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 616280625 is about 850.9933599868.

Multiplying 616280625 by its sum of digits (36), we get a square (22186102500 = 148950²).

The spelling of 616280625 in words is "six hundred sixteen million, two hundred eighty thousand, six hundred twenty-five".