542056700025 has 45 divisors (see below), whose sum is σ = 1004137759933. Its totient is φ = 289079236800.

The previous prime is 542056699999. The next prime is 542056700047. The reversal of 542056700025 is 520007650245.

The square root of 542056700025 is 736245.

It is a perfect power (a square), and thus also a powerful number.

542056700025 is a `hidden beast` number, since 54 + 20 + 567 + 0 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36586890729 + 505469809296 = 191277^2 + 710964^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 542056700025 - 2⁵ = 542056699993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33122845 + ... + 33139205.

Almost surely, 2^542056700025 is an apocalyptic number.

542056700025 is the 736245-th square number.

542056700025 is the 368123-rd centered octagonal number.

It is an amenable number.

542056700025 is a deficient number, since it is larger than the sum of its proper divisors (462081059908).

542056700025 is an frugal number, since it uses more digits than its factorization.

542056700025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32744 (or 16369 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Multiplying 542056700025 by its sum of digits (36), we get a square (19514041200900 = 4417470²).

The spelling of 542056700025 in words is "five hundred forty-two billion, fifty-six million, seven hundred thousand, twenty-five".