542405646252 has 72 divisors (see below), whose sum is σ = 1376331756800. Its totient is φ = 180110145888.

The previous prime is 542405646247. The next prime is 542405646253. The reversal of 542405646252 is 252646504245.

542405646252 is a `hidden beast` number, since 5 + 4 + 24 + 0 + 564 + 62 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 542405646198 and 542405646207.

It is not an unprimeable number, because it can be changed into a prime (542405646253) 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 23 ways as a sum of consecutive naturals, for example, 20753649 + ... + 20779767.

Almost surely, 2^542405646252 is an apocalyptic number.

It is an amenable number.

542405646252 is an abundant number, since it is smaller than the sum of its proper divisors (833926110548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542405646252 is a wasteful number, since it uses less digits than its factorization.

542405646252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28315 (or 28310 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 542405646252 in words is "five hundred forty-two billion, four hundred five million, six hundred forty-six thousand, two hundred fifty-two".