66325957605625 has 45 divisors (see below), whose sum is σ = 83350413085467. Its totient is φ = 52761878532000.

The previous prime is 66325957605613. The next prime is 66325957605667. The reversal of 66325957605625 is 52650675952366.

It is a happy number.

The square root of 66325957605625 is 8144075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 65543872070889 + 782085534736 = 8095917^2 + 884356^2 .

It is not a de Polignac number, because 66325957605625 - 2¹⁵ = 66325957572857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 40516772307 + ... + 40516773943.

Almost surely, 2^{66325957605625} is an apocalyptic number.

66325957605625 is the 8144075-th square number.

66325957605625 is the 4072038-th centered octagonal number.

It is an amenable number.

66325957605625 is a deficient number, since it is larger than the sum of its proper divisors (17024455479842).

66325957605625 is an frugal number, since it uses more digits than its factorization.

66325957605625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 612360000, while the sum is 67.

The spelling of 66325957605625 in words is "sixty-six trillion, three hundred twenty-five billion, nine hundred fifty-seven million, six hundred five thousand, six hundred twenty-five".