45905205025 has 27 divisors (see below), whose sum is σ = 57811381401. Its totient is φ = 36159387840.

The previous prime is 45905205011. The next prime is 45905205053. The reversal of 45905205025 is 52050250954.

The square root of 45905205025 is 214255.

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

It can be written as a sum of positive squares in 4 ways, for example, as 251190801 + 45654014224 = 15849^2 + 213668^2 .

It is not a de Polignac number, because 45905205025 - 2¹⁷ = 45905073953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78202782 + ... + 78203368.

Almost surely, 2^45905205025 is an apocalyptic number.

45905205025 is the 214255-th square number.

45905205025 is the 107128-th centered octagonal number.

It is an amenable number.

45905205025 is a deficient number, since it is larger than the sum of its proper divisors (11906176376).

45905205025 is an frugal number, since it uses more digits than its factorization.

45905205025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

Adding to 45905205025 its reverse (52050250954), we get a palindrome (97955455979).

The spelling of 45905205025 in words is "forty-five billion, nine hundred five million, two hundred five thousand, twenty-five".