66301625 has 16 divisors (see below), whose sum is σ = 89111568. Its totient is φ = 48960000.

The previous prime is 66301607. The next prime is 66301643. The reversal of 66301625 is 52610366.

It is an interprime number because it is at equal distance from previous prime (66301607) and next prime (66301643).

It can be written as a sum of positive squares in 8 ways, for example, as 15649936 + 50651689 = 3956^2 + 7117^2 .

It is not a de Polignac number, because 66301625 - 2⁸ = 66301369 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18776 + ... + 22025.

It is an arithmetic number, because the mean of its divisors is an integer number (5569473).

Almost surely, 2^66301625 is an apocalyptic number.

66301625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66301625 is a deficient number, since it is larger than the sum of its proper divisors (22809943).

66301625 is a wasteful number, since it uses less digits than its factorization.

66301625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40829 (or 40819 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 66301625 is about 8142.5809790262. The cubic root of 66301625 is about 404.7386923855.

The spelling of 66301625 in words is "sixty-six million, three hundred one thousand, six hundred twenty-five".