52205850225 has 72 divisors (see below), whose sum is σ = 100209425472. Its totient is φ = 25912656000.

The previous prime is 52205850217. The next prime is 52205850233.

52205850225 is a `hidden beast` number, since 52 + 2 + 0 + 585 + 0 + 2 + 25 = 666.

52205850225 is nontrivially palindromic in base 10.

52205850225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52205850217) and next prime (52205850233).

It is not a de Polignac number, because 52205850225 - 2³ = 52205850217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52205850225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55150 + ... + 327800.

It is an arithmetic number, because the mean of its divisors is an integer number (1391797576).

Almost surely, 2^52205850225 is an apocalyptic number.

It is an amenable number.

52205850225 is a deficient number, since it is larger than the sum of its proper divisors (48003575247).

52205850225 is a wasteful number, since it uses less digits than its factorization.

52205850225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272727 (or 272719 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 52205850225 in words is "fifty-two billion, two hundred five million, eight hundred fifty thousand, two hundred twenty-five".