1303398972225 has 243 divisors, whose sum is σ = 2769937108419. Its totient is φ = 584167147200.

The previous prime is 1303398972173. The next prime is 1303398972307. The reversal of 1303398972225 is 5222798933031.

The square root of 1303398972225 is 1141665.

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

1303398972225 is a `hidden beast` number, since 1 + 3 + 0 + 339 + 89 + 7 + 2 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 469223630001 + 834175342224 = 684999^2 + 913332^2 .

It is not a de Polignac number, because 1303398972225 - 2¹¹ = 1303398970177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 9949610410 + ... + 9949610540.

Almost surely, 2^{1303398972225} is an apocalyptic number.

1303398972225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1303398972225 is the 1141665-th square number.

1303398972225 is the 570833-rd centered octagonal number.

It is an amenable number.

1303398972225 is an abundant number, since it is smaller than the sum of its proper divisors (1466538136194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1303398972225 is an equidigital number, since it uses as much as digits as its factorization.

1303398972225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1303398972225 in words is "one trillion, three hundred three billion, three hundred ninety-eight million, nine hundred seventy-two thousand, two hundred twenty-five".