81150387739201 has 81 divisors (see below), whose sum is σ = 96323281775427. Its totient is φ = 68302037950080.

The previous prime is 81150387739199. The next prime is 81150387739219. The reversal of 81150387739201 is 10293778305118.

The square root of 81150387739201 is 9008351.

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

It can be written as a sum of positive squares in only one way, i.e., 63179367617025 + 17971020122176 = 7948545^2 + 4239224^2 .

It is not a de Polignac number, because 81150387739201 - 2¹ = 81150387739199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81150387719201) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 112865629320 + ... + 112865630038.

Almost surely, 2^{81150387739201} is an apocalyptic number.

81150387739201 is the 9008351-st square number.

81150387739201 is the 4504176-th centered octagonal number.

It is an amenable number.

81150387739201 is a deficient number, since it is larger than the sum of its proper divisors (15172894036226).

81150387739201 is an frugal number, since it uses more digits than its factorization.

81150387739201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 81150387739201 in words is "eighty-one trillion, one hundred fifty billion, three hundred eighty-seven million, seven hundred thirty-nine thousand, two hundred one".