1407375225 has 81 divisors (see below), whose sum is σ = 2626797927. Its totient is φ = 720288000.

The previous prime is 1407375223. The next prime is 1407375227. The reversal of 1407375225 is 5225737041.

The square root of 1407375225 is 37515.

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

It is an interprime number because it is at equal distance from previous prime (1407375223) and next prime (1407375227).

It can be written as a sum of positive squares in 13 ways, for example, as 1054235961 + 353139264 = 32469^2 + 18792^2 .

It is not a de Polignac number, because 1407375225 - 2¹ = 1407375223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1407375225.

It is not an unprimeable number, because it can be changed into a prime (1407375223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23071695 + ... + 23071755.

Almost surely, 2^1407375225 is an apocalyptic number.

1407375225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1407375225 is the 37515-th square number.

1407375225 is the 18758-th centered octagonal number.

It is an amenable number.

1407375225 is a deficient number, since it is larger than the sum of its proper divisors (1219422702).

1407375225 is an equidigital number, since it uses as much as digits as its factorization.

1407375225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The cubic root of 1407375225 is about 1120.6499270419.

Multiplying 1407375225 by its sum of digits (36), we get a square (50665508100 = 225090²).

It can be divided in two parts, 14073 and 75225, that added together give a palindrome (89298).

The spelling of 1407375225 in words is "one billion, four hundred seven million, three hundred seventy-five thousand, two hundred twenty-five".