542061565625 has 48 divisors (see below), whose sum is σ = 701509319280. Its totient is φ = 418330080000.

The previous prime is 542061565613. The next prime is 542061565679. The reversal of 542061565625 is 526565160245.

It can be written as a sum of positive squares in 24 ways, for example, as 513786470521 + 28275095104 = 716789^2 + 168152^2 .

It is not a de Polignac number, because 542061565625 - 2⁶ = 542061565561 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 542061565625.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153426359 + ... + 153429891.

It is an arithmetic number, because the mean of its divisors is an integer number (14614777485).

Almost surely, 2^542061565625 is an apocalyptic number.

It is an amenable number.

542061565625 is a deficient number, since it is larger than the sum of its proper divisors (159447753655).

542061565625 is an equidigital number, since it uses as much as digits as its factorization.

542061565625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 47.

The spelling of 542061565625 in words is "five hundred forty-two billion, sixty-one million, five hundred sixty-five thousand, six hundred twenty-five".