85725951486561 has 45 divisors (see below), whose sum is σ = 128329071461283. Its totient is φ = 57030695427600.

The previous prime is 85725951486521. The next prime is 85725951486629. The reversal of 85725951486561 is 16568415952758.

The square root of 85725951486561 is 9258831.

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

85725951486561 is a `hidden beast` number, since 8 + 5 + 7 + 2 + 5 + 9 + 51 + 4 + 8 + 6 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11439824762961 + 74286126723600 = 3382281^2 + 8618940^2 .

It is not a de Polignac number, because 85725951486561 - 2⁷ = 85725951486433 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85725951486561.

It is not an unprimeable number, because it can be changed into a prime (85725951486521) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59080599886 + ... + 59080601336.

Almost surely, 2^{85725951486561} is an apocalyptic number.

85725951486561 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85725951486561 is the 9258831-st square number.

85725951486561 is the 4629416-th centered octagonal number.

It is an amenable number.

85725951486561 is a deficient number, since it is larger than the sum of its proper divisors (42603119974722).

85725951486561 is an frugal number, since it uses more digits than its factorization.

85725951486561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 2163 counting only the distinct ones).

The product of its digits is 725760000, while the sum is 72.

The spelling of 85725951486561 in words is "eighty-five trillion, seven hundred twenty-five billion, nine hundred fifty-one million, four hundred eighty-six thousand, five hundred sixty-one".