65612310201 has 63 divisors (see below), whose sum is σ = 100827854239. Its totient is φ = 42676472592.

The previous prime is 65612310187. The next prime is 65612310217. The reversal of 65612310201 is 10201321656.

The square root of 65612310201 is 256149.

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

65612310201 is a `hidden beast` number, since 656 + 1 + 2 + 3 + 1 + 0 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47299725225 + 18312584976 = 217485^2 + 135324^2 .

It is not a de Polignac number, because 65612310201 - 2²⁵ = 65578755769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (65612310221) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 366549130 + ... + 366549308.

Almost surely, 2^65612310201 is an apocalyptic number.

65612310201 is the 256149-th square number.

65612310201 is the 128075-th centered octagonal number.

It is an amenable number.

65612310201 is a deficient number, since it is larger than the sum of its proper divisors (35215544038).

65612310201 is an frugal number, since it uses more digits than its factorization.

65612310201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 65612310201 its reverse (10201321656), we get a palindrome (75813631857).

The spelling of 65612310201 in words is "sixty-five billion, six hundred twelve million, three hundred ten thousand, two hundred one".