905095363225 has 27 divisors (see below), whose sum is σ = 1130786642167. Its totient is φ = 718653510080.

The previous prime is 905095363181. The next prime is 905095363253. The reversal of 905095363225 is 522363590509.

The square root of 905095363225 is 951365.

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

It can be written as a sum of positive squares in 13 ways, for example, as 788538672009 + 116556691216 = 887997^2 + 341404^2 .

It is not a de Polignac number, because 905095363225 - 2¹⁵ = 905095330457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 708766287 + ... + 708767563.

Almost surely, 2^905095363225 is an apocalyptic number.

905095363225 is the 951365-th square number.

905095363225 is the 475683-rd centered octagonal number.

It is an amenable number.

905095363225 is a deficient number, since it is larger than the sum of its proper divisors (225691278942).

905095363225 is an frugal number, since it uses more digits than its factorization.

905095363225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 49.

Multiplying 905095363225 by its sum of digits (49), we get a square (44349672798025 = 6659555²).

The spelling of 905095363225 in words is "nine hundred five billion, ninety-five million, three hundred sixty-three thousand, two hundred twenty-five".