542117601 has 24 divisors (see below), whose sum is σ = 799816680. Its totient is φ = 353760000.

The previous prime is 542117579. The next prime is 542117617. The reversal of 542117601 is 106711245.

It is a happy number.

542117601 is a `hidden beast` number, since 5 + 42 + 1 + 17 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111513600 + 430604001 = 10560^2 + 20751^2 .

It is not a de Polignac number, because 542117601 - 2²¹ = 540020449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542117651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77551 + ... + 84251.

It is an arithmetic number, because the mean of its divisors is an integer number (33325695).

Almost surely, 2^542117601 is an apocalyptic number.

It is an amenable number.

542117601 is a deficient number, since it is larger than the sum of its proper divisors (257699079).

542117601 is a wasteful number, since it uses less digits than its factorization.

542117601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6897 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 542117601 is about 23283.4190143973. The cubic root of 542117601 is about 815.3883509329.

Adding to 542117601 its reverse (106711245), we get a palindrome (648828846).

The spelling of 542117601 in words is "five hundred forty-two million, one hundred seventeen thousand, six hundred one".