46055306025 has 135 divisors (see below), whose sum is σ = 90396823143. Its totient is φ = 23177340000.

The previous prime is 46055305991. The next prime is 46055306039. The reversal of 46055306025 is 52060355064.

It is a happy number.

The square root of 46055306025 is 214605.

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

46055306025 is a `hidden beast` number, since 4 + 60 + 5 + 530 + 60 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16579910169 + 29475395856 = 128763^2 + 171684^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 46055306025 - 2¹³ = 46055297833 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 183487150 + ... + 183487400.

Almost surely, 2^46055306025 is an apocalyptic number.

46055306025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46055306025 is the 214605-th square number.

46055306025 is the 107303-rd centered octagonal number.

It is an amenable number.

46055306025 is a deficient number, since it is larger than the sum of its proper divisors (44341517118).

46055306025 is an equidigital number, since it uses as much as digits as its factorization.

46055306025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Multiplying 46055306025 by its sum of digits (36), we get a square (1657991016900 = 1287630²).

The spelling of 46055306025 in words is "forty-six billion, fifty-five million, three hundred six thousand, twenty-five".