1590813225 has 27 divisors (see below), whose sum is σ = 2850395223. Its totient is φ = 848114640.

The previous prime is 1590813223. The next prime is 1590813293. The reversal of 1590813225 is 5223180951.

The square root of 1590813225 is 39885.

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

1590813225 is digitally balanced in base 6, 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 only one way, i.e., 572692761 + 1018120464 = 23931^2 + 31908^2 .

It is not a de Polignac number, because 1590813225 - 2¹ = 1590813223 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1590813225.

It is not an unprimeable number, because it can be changed into a prime (1590813223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 596946 + ... + 599604.

Almost surely, 2^1590813225 is an apocalyptic number.

1590813225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1590813225 is the 39885-th square number.

1590813225 is the 19943-rd centered octagonal number.

It is an amenable number.

1590813225 is a deficient number, since it is larger than the sum of its proper divisors (1259581998).

1590813225 is an frugal number, since it uses more digits than its factorization.

1590813225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The cubic root of 1590813225 is about 1167.3642728073.

Multiplying 1590813225 by its sum of digits (36), we get a square (57269276100 = 239310²).

The spelling of 1590813225 in words is "one billion, five hundred ninety million, eight hundred thirteen thousand, two hundred twenty-five".