1372306817025 has 81 divisors (see below), whose sum is σ = 2546579307259. Its totient is φ = 706396736640.

The previous prime is 1372306816981. The next prime is 1372306817027. The reversal of 1372306817025 is 5207186032731.

The square root of 1372306817025 is 1171455.

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

1372306817025 is a `hidden beast` number, since 1 + 372 + 30 + 68 + 170 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 963049785201 + 409257031824 = 981351^2 + 639732^2 .

It is not a de Polignac number, because 1372306817025 - 2²⁵ = 1372273262593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1372306817027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 509581579 + ... + 509584271.

Almost surely, 2^{1372306817025} is an apocalyptic number.

1372306817025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1372306817025 is the 1171455-th square number.

1372306817025 is the 585728-th centered octagonal number.

It is an amenable number.

1372306817025 is a deficient number, since it is larger than the sum of its proper divisors (1174272490234).

1372306817025 is an frugal number, since it uses more digits than its factorization.

1372306817025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1372306817025 in words is "one trillion, three hundred seventy-two billion, three hundred six million, eight hundred seventeen thousand, twenty-five".