1456567225 has 27 divisors (see below), whose sum is σ = 1922919367. Its totient is φ = 1094266880.

The previous prime is 1456567199. The next prime is 1456567241. The reversal of 1456567225 is 5227656541.

The square root of 1456567225 is 38165.

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 359367849 + 1097199376 = 18957^2 + 33124^2 .

It is not a de Polignac number, because 1456567225 - 2⁵ = 1456567193 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, 3243801 + ... + 3244249.

Almost surely, 2^1456567225 is an apocalyptic number.

1456567225 is the 38165-th square number.

1456567225 is the 19083-rd centered octagonal number.

It is an amenable number.

1456567225 is a deficient number, since it is larger than the sum of its proper divisors (466352142).

1456567225 is an frugal number, since it uses more digits than its factorization.

1456567225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its digits is 504000, while the sum is 43.

The cubic root of 1456567225 is about 1133.5573862588.

It can be divided in two parts, 145656 and 7225, that added together give a square (152881 = 391²).

The spelling of 1456567225 in words is "one billion, four hundred fifty-six million, five hundred sixty-seven thousand, two hundred twenty-five".