1301405625 has 135 divisors (see below), whose sum is σ = 2614204593. Its totient is φ = 623376000.

The previous prime is 1301405617. The next prime is 1301405663. The reversal of 1301405625 is 5265041031.

The square root of 1301405625 is 36075.

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

1301405625 is a `hidden beast` number, since 1 + 30 + 1 + 4 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 1239814521 + 61591104 = 35211^2 + 7848^2 .

It is not a de Polignac number, because 1301405625 - 2³ = 1301405617 is a prime.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 35173107 + ... + 35173143.

Almost surely, 2^1301405625 is an apocalyptic number.

1301405625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1301405625 is the 36075-th square number.

1301405625 is the 18038-th centered octagonal number.

It is an amenable number.

1301405625 is an abundant number, since it is smaller than the sum of its proper divisors (1312798968).

1301405625 is an equidigital number, since it uses as much as digits as its factorization.

1301405625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 1301405625 is about 1091.7860975590.

Multiplying 1301405625 by its product of nonzero digits (3600), we get a square (4685060250000 = 2164500²).

Adding to 1301405625 its reverse (5265041031), we get a palindrome (6566446656).

The spelling of 1301405625 in words is "one billion, three hundred one million, four hundred five thousand, six hundred twenty-five".