649531224225 has 81 divisors (see below), whose sum is σ = 1260062360427. Its totient is φ = 319691848320.

The previous prime is 649531224169. The next prime is 649531224239. The reversal of 649531224225 is 522422135946.

The square root of 649531224225 is 805935.

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

649531224225 is a `hidden beast` number, since 6 + 4 + 95 + 312 + 24 + 225 = 666.

649531224225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 498561675921 + 150969548304 = 706089^2 + 388548^2 .

It is not a de Polignac number, because 649531224225 - 2¹¹ = 649531222177 is a prime.

It is a super-2 number, since 2×649531224225² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 157155259 + ... + 157159391.

Almost surely, 2^649531224225 is an apocalyptic number.

649531224225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

649531224225 is the 805935-th square number.

649531224225 is the 402968-th centered octagonal number.

It is an amenable number.

649531224225 is a deficient number, since it is larger than the sum of its proper divisors (610531136202).

649531224225 is an equidigital number, since it uses as much as digits as its factorization.

649531224225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8308 (or 4154 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 649531224225 in words is "six hundred forty-nine billion, five hundred thirty-one million, two hundred twenty-four thousand, two hundred twenty-five".