2401306648225 has 27 divisors (see below), whose sum is σ = 3084125961657. Its totient is φ = 1854628819680.

The previous prime is 2401306648141. The next prime is 2401306648291. The reversal of 2401306648225 is 5228466031042.

The square root of 2401306648225 is 1549615.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33007259041 + 2368299389184 = 181679^2 + 1538928^2 .

It is not a de Polignac number, because 2401306648225 - 2⁹ = 2401306647713 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, 224688832 + ... + 224699518.

Almost surely, 2^{2401306648225} is an apocalyptic number.

2401306648225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2401306648225 is the 1549615-th square number.

2401306648225 is the 774808-th centered octagonal number.

It is an amenable number.

2401306648225 is a deficient number, since it is larger than the sum of its proper divisors (682819313432).

2401306648225 is an frugal number, since it uses more digits than its factorization.

2401306648225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21442 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 2401306648225 in words is "two trillion, four hundred one billion, three hundred six million, six hundred forty-eight thousand, two hundred twenty-five".