542406653221 has 12 divisors (see below), whose sum is σ = 546975547300. Its totient is φ = 537859491840.

The previous prime is 542406653161. The next prime is 542406653227. The reversal of 542406653221 is 122356604245.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 97977764196 + 444428889025 = 313014^2 + 666655^2 .

It is not a de Polignac number, because 542406653221 - 2⁹ = 542406652709 is a prime.

It is a super-2 number, since 2×542406653221² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542406653227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22542205 + ... + 22566253.

Almost surely, 2^542406653221 is an apocalyptic number.

It is an amenable number.

542406653221 is a deficient number, since it is larger than the sum of its proper divisors (4568894079).

542406653221 is an equidigital number, since it uses as much as digits as its factorization.

542406653221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24936 (or 24583 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 542406653221 in words is "five hundred forty-two billion, four hundred six million, six hundred fifty-three thousand, two hundred twenty-one".