542949396201 has 81 divisors (see below), whose sum is σ = 838605210807. Its totient is φ = 338479875360.

The previous prime is 542949396179. The next prime is 542949396263. The reversal of 542949396201 is 102693949245.

The square root of 542949396201 is 736851.

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

542949396201 is a `hidden beast` number, since 5 + 4 + 2 + 9 + 4 + 9 + 3 + 9 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5982867801 + 536966528400 = 77349^2 + 732780^2 .

It is not a de Polignac number, because 542949396201 - 2⁹ = 542949395689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542949396271) 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 80 ways as a sum of consecutive naturals, for example, 2999720331 + ... + 2999720511.

Almost surely, 2^542949396201 is an apocalyptic number.

542949396201 is the 736851-st square number.

542949396201 is the 368426-th centered octagonal number.

It is an amenable number.

542949396201 is a deficient number, since it is larger than the sum of its proper divisors (295655814606).

542949396201 is an equidigital number, since it uses as much as digits as its factorization.

542949396201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 542949396201 in words is "five hundred forty-two billion, nine hundred forty-nine million, three hundred ninety-six thousand, two hundred one".