81757041001 has 2 divisors, whose sum is σ = 81757041002. Its totient is φ = 81757041000.

The previous prime is 81757040957. The next prime is 81757041029. The reversal of 81757041001 is 10014075718.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63342822400 + 18414218601 = 251680^2 + 135699^2 .

It is a cyclic number.

It is not a de Polignac number, because 81757041001 - 2¹⁹ = 81756516713 is a prime.

It is not a weakly prime, because it can be changed into another prime (81757041031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40878520500 + 40878520501.

It is an arithmetic number, because the mean of its divisors is an integer number (40878520501).

Almost surely, 2^81757041001 is an apocalyptic number.

It is an amenable number.

81757041001 is a deficient number, since it is larger than the sum of its proper divisors (1).

81757041001 is an equidigital number, since it uses as much as digits as its factorization.

81757041001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7840, while the sum is 34.

The spelling of 81757041001 in words is "eighty-one billion, seven hundred fifty-seven million, forty-one thousand, one".