117257620041 has 9 divisors (see below), whose sum is σ = 169373601709. Its totient is φ = 78171061836.

The previous prime is 117257620027. The next prime is 117257620097. The reversal of 117257620041 is 140026752711.

The square root of 117257620041 is 342429.

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

117257620041 is a `hidden beast` number, since 1 + 1 + 7 + 25 + 7 + 620 + 0 + 4 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 117257620041 - 2²¹ = 117255522889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 117257619978 and 117257620005.

It is not an unprimeable number, because it can be changed into a prime (117257620541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 970216 + ... + 1084358.

Almost surely, 2^117257620041 is an apocalyptic number.

117257620041 is the 342429-th square number.

117257620041 is the 171215-th centered octagonal number.

It is an amenable number.

117257620041 is a deficient number, since it is larger than the sum of its proper divisors (52115981668).

117257620041 is an frugal number, since it uses more digits than its factorization.

117257620041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228292 (or 114146 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Multiplying 117257620041 by its sum of digits (36), we get a square (4221274321476 = 2054574²).

The spelling of 117257620041 in words is "one hundred seventeen billion, two hundred fifty-seven million, six hundred twenty thousand, forty-one".