245705625 has 135 divisors (see below), whose sum is σ = 514482969. Its totient is φ = 112860000.

The previous prime is 245705611. The next prime is 245705633. The reversal of 245705625 is 526507542.

The square root of 245705625 is 15675.

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

245705625 is a `hidden beast` number, since 24 + 5 + 7 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19263321 + 226442304 = 4389^2 + 15048^2 .

It is not a de Polignac number, because 245705625 - 2¹³ = 245697433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 245705625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12931866 + ... + 12931884.

Almost surely, 2^245705625 is an apocalyptic number.

245705625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

245705625 is the 15675-th square number.

245705625 is the 7838-th centered octagonal number.

It is an amenable number.

245705625 is an abundant number, since it is smaller than the sum of its proper divisors (268777344).

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

245705625 is a wasteful number, since it uses less digits than its factorization.

245705625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The cubic root of 245705625 is about 626.3326232317.

Multiplying 245705625 by its sum of digits (36), we get a square (8845402500 = 94050²).

The spelling of 245705625 in words is "two hundred forty-five million, seven hundred five thousand, six hundred twenty-five".