1326931205625 has 45 divisors (see below), whose sum is σ = 2395237288873. Its totient is φ = 707650566000.

The previous prime is 1326931205521. The next prime is 1326931205641. The reversal of 1326931205625 is 5265021396231.

The square root of 1326931205625 is 1151925.

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

1326931205625 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 9 + 3 + 12 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104031406521 + 1222899799104 = 322539^2 + 1105848^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1326931205625 - 2¹⁵ = 1326931172857 is a prime.

It is a super-2 number, since 2×1326931205625² (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 86386696 + ... + 86402054.

Almost surely, 2^{1326931205625} is an apocalyptic number.

1326931205625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1326931205625 is the 1151925-th square number.

1326931205625 is the 575963-rd centered octagonal number.

It is an amenable number.

1326931205625 is a deficient number, since it is larger than the sum of its proper divisors (1068306083248).

1326931205625 is an frugal number, since it uses more digits than its factorization.

1326931205625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30744 (or 15367 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 1326931205625 in words is "one trillion, three hundred twenty-six billion, nine hundred thirty-one million, two hundred five thousand, six hundred twenty-five".