542601 has 6 divisors (see below), whose sum is σ = 783770. Its totient is φ = 361728.

The previous prime is 542599. The next prime is 542603. The reversal of 542601 is 106245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (542599) and next prime (542603).

It can be written as a sum of positive squares in only one way, i.e., 291600 + 251001 = 540^2 + 501^2 .

It is not a de Polignac number, because 542601 - 2¹ = 542599 is a prime.

It is a Duffinian number.

542601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (542603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30136 + ... + 30153.

2⁵⁴²⁶⁰¹ is an apocalyptic number.

It is an amenable number.

542601 is a deficient number, since it is larger than the sum of its proper divisors (241169).

542601 is a wasteful number, since it uses less digits than its factorization.

542601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60295 (or 60292 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 542601 is about 736.6145532095. The cubic root of 542601 is about 81.5630635888.

Subtracting from 542601 its product of nonzero digits (240), we obtain a triangular number (542361 = T₁₀₄₁).

Adding to 542601 its reverse (106245), we get a palindrome (648846).

The spelling of 542601 in words is "five hundred forty-two thousand, six hundred one".