71775529373953 has 16 divisors (see below), whose sum is σ = 73954553161104. Its totient is φ = 69609131516160.

The previous prime is 71775529373837. The next prime is 71775529373981. The reversal of 71775529373953 is 35937392557717.

It can be written as a sum of positive squares in 8 ways, for example, as 5781466363024 + 65994063010929 = 2404468^2 + 8123673^2 .

It is a cyclic number.

It is not a de Polignac number, because 71775529373953 - 2²¹ = 71775527276801 is a prime.

It is a super-2 number, since 2×71775529373953² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71775529373993) 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 15 ways as a sum of consecutive naturals, for example, 133877043 + ... + 134412103.

It is an arithmetic number, because the mean of its divisors is an integer number (4622159572569).

Almost surely, 2^{71775529373953} is an apocalyptic number.

It is an amenable number.

71775529373953 is a deficient number, since it is larger than the sum of its proper divisors (2179023787151).

71775529373953 is a wasteful number, since it uses less digits than its factorization.

71775529373953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546852.

The product of its digits is 1312746750, while the sum is 73.

The spelling of 71775529373953 in words is "seventy-one trillion, seven hundred seventy-five billion, five hundred twenty-nine million, three hundred seventy-three thousand, nine hundred fifty-three".