1306117551025 has 27 divisors (see below), whose sum is σ = 1884065628321. Its totient is φ = 895596035040.

The previous prime is 1306117551023. The next prime is 1306117551059. The reversal of 1306117551025 is 5201557116031.

The square root of 1306117551025 is 1142855.

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 79410676401 + 1226706874624 = 281799^2 + 1107568^2 .

It is not a de Polignac number, because 1306117551025 - 2¹ = 1306117551023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1306117551023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39983599 + ... + 40016251.

Almost surely, 2^{1306117551025} is an apocalyptic number.

1306117551025 is the 1142855-th square number.

1306117551025 is the 571428-th centered octagonal number.

It is an amenable number.

1306117551025 is a deficient number, since it is larger than the sum of its proper divisors (577948077296).

1306117551025 is an frugal number, since it uses more digits than its factorization.

1306117551025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65330 (or 32665 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 37.

The spelling of 1306117551025 in words is "one trillion, three hundred six billion, one hundred seventeen million, five hundred fifty-one thousand, twenty-five".