52781625 has 80 divisors (see below), whose sum is σ = 106234128. Its totient is φ = 25920000.

The previous prime is 52781593. The next prime is 52781627. The reversal of 52781625 is 52618725.

It is a happy number.

52781625 is a `hidden beast` number, since 5 + 27 + 8 + 1 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10323369 + 42458256 = 3213^2 + 6516^2 .

It is not a de Polignac number, because 52781625 - 2⁵ = 52781593 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 52781625.

It is not an unprimeable number, because it can be changed into a prime (52781627) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131425 + ... + 131825.

Almost surely, 2^52781625 is an apocalyptic number.

It is an amenable number.

52781625 is an abundant number, since it is smaller than the sum of its proper divisors (53452503).

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

52781625 is a wasteful number, since it uses less digits than its factorization.

52781625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 422 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 52781625 is about 7265.0963517355. The cubic root of 52781625 is about 375.1119665660. Note that the first 3 decimals are identical.

It can be divided in two parts, 5278 and 1625, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 52781625 in words is "fifty-two million, seven hundred eighty-one thousand, six hundred twenty-five".