81527267351079 has 288 divisors, whose sum is σ = 147891991762944. Its totient is φ = 42798122357760.

The previous prime is 81527267351053. The next prime is 81527267351081. The reversal of 81527267351079 is 97015376272518.

It is a happy number.

81527267351079 is a `hidden beast` number, since 8 + 1 + 5 + 27 + 26 + 7 + 3 + 510 + 79 = 666.

It is not a de Polignac number, because 81527267351079 - 2¹³ = 81527267342887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81527267351479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1895829192 + ... + 1895872194.

It is an arithmetic number, because the mean of its divisors is an integer number (513513860288).

Almost surely, 2^{81527267351079} is an apocalyptic number.

81527267351079 is a deficient number, since it is larger than the sum of its proper divisors (66364724411865).

81527267351079 is a wasteful number, since it uses less digits than its factorization.

81527267351079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43187 (or 43167 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 81527267351079 in words is "eighty-one trillion, five hundred twenty-seven billion, two hundred sixty-seven million, three hundred fifty-one thousand, seventy-nine".