542936601 has 21 divisors (see below), whose sum is σ = 814976869. Its totient is φ = 361538316.

The previous prime is 542936593. The next prime is 542936623. The reversal of 542936601 is 106639245.

It is a happy number.

The square root of 542936601 is 23301.

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

542936601 is a `hidden beast` number, since 5 + 42 + 9 + 3 + 6 + 601 = 666.

It is not a de Polignac number, because 542936601 - 2³ = 542936593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (542936651) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 628696 + ... + 629558.

Almost surely, 2^542936601 is an apocalyptic number.

542936601 is the 23301-st square number.

542936601 is the 11651-st centered octagonal number.

It is an amenable number.

542936601 is a deficient number, since it is larger than the sum of its proper divisors (272040268).

542936601 is an frugal number, since it uses more digits than its factorization.

542936601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 542936601 is about 815.7987582242.

Multiplying 542936601 by its sum of digits (36), we get a square (19545717636 = 139806²).

The spelling of 542936601 in words is "five hundred forty-two million, nine hundred thirty-six thousand, six hundred one".