66022125 has 64 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 31315200.

The previous prime is 66022109. The next prime is 66022133. The reversal of 66022125 is 52122066.

66022125 = 118² + 119² + ... + 584².

It is not a de Polignac number, because 66022125 - 2⁴ = 66022109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66022095 and 66022104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141142 + ... + 141608.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^66022125 is an apocalyptic number.

66022125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66022125 is a deficient number, since it is larger than the sum of its proper divisors (56631315).

66022125 is a wasteful number, since it uses less digits than its factorization.

66022125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 66022125 is about 8125.3999901543. The cubic root of 66022125 is about 404.1691548128.

The spelling of 66022125 in words is "sixty-six million, twenty-two thousand, one hundred twenty-five".