66553025 has 54 divisors (see below), whose sum is σ = 105754950. Its totient is φ = 41395200.

The previous prime is 66552989. The next prime is 66553027. The reversal of 66553025 is 52035566.

It can be written as a sum of positive squares in 3 ways, for example, as 6071296 + 60481729 = 2464^2 + 7777^2 .

It is not a de Polignac number, because 66553025 - 2¹⁰ = 66552001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66552982 and 66553000.

It is not an unprimeable number, because it can be changed into a prime (66553027) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 148001 + ... + 148449.

It is an arithmetic number, because the mean of its divisors is an integer number (1958425).

Almost surely, 2^66553025 is an apocalyptic number.

It is an amenable number.

66553025 is a deficient number, since it is larger than the sum of its proper divisors (39201925).

66553025 is a wasteful number, since it uses less digits than its factorization.

66553025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 66553025 is about 8158.0037386606. The cubic root of 66553025 is about 405.2496048099.

The spelling of 66553025 in words is "sixty-six million, five hundred fifty-three thousand, twenty-five".