1371591225 has 45 divisors (see below), whose sum is σ = 2543751903. Its totient is φ = 730626480.

The previous prime is 1371591217. The next prime is 1371591239. The reversal of 1371591225 is 5221951731.

The square root of 1371591225 is 37035.

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

It can be written as a sum of positive squares in only one way, i.e., 493772841 + 877818384 = 22221^2 + 29628^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1371591225 - 2³ = 1371591217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1371591225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1666164 + ... + 1666986.

Almost surely, 2^1371591225 is an apocalyptic number.

1371591225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1371591225 is the 37035-th square number.

1371591225 is the 18518-th centered octagonal number.

It is an amenable number.

1371591225 is a deficient number, since it is larger than the sum of its proper divisors (1172160678).

1371591225 is an frugal number, since it uses more digits than its factorization.

1371591225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 831 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The cubic root of 1371591225 is about 1111.0703699969.

Multiplying 1371591225 by its sum of digits (36), we get a square (49377284100 = 222210²).

It can be divided in two parts, 137159 and 1225, that added together give a square (138384 = 372²).

The spelling of 1371591225 in words is "one billion, three hundred seventy-one million, five hundred ninety-one thousand, two hundred twenty-five".