542165669761 has 9 divisors (see below), whose sum is σ = 555742693443. Its totient is φ = 528912664080.

The previous prime is 542165669713. The next prime is 542165669789. The reversal of 542165669761 is 167966561245.

The square root of 542165669761 is 736319.

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., 26124580161 + 516041089600 = 161631^2 + 718360^2 .

It is not a de Polignac number, because 542165669761 - 2²³ = 542157281153 is a prime.

It is a super-2 number, since 2×542165669761² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 542165669696 and 542165669705.

It is not an unprimeable number, because it can be changed into a prime (542165669711) 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 8 ways as a sum of consecutive naturals, for example, 30180100 + ... + 30198058.

Almost surely, 2^542165669761 is an apocalyptic number.

542165669761 is the 736319-th square number.

542165669761 is the 368160-th centered octagonal number.

It is an amenable number.

542165669761 is a deficient number, since it is larger than the sum of its proper divisors (13577023682).

542165669761 is an frugal number, since it uses more digits than its factorization.

542165669761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36000 (or 18000 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 58.

The spelling of 542165669761 in words is "five hundred forty-two billion, one hundred sixty-five million, six hundred sixty-nine thousand, seven hundred sixty-one".