1693134452025 has 81 divisors (see below), whose sum is σ = 3054103091949. Its totient is φ = 896644751040.

The previous prime is 1693134452003. The next prime is 1693134452027. The reversal of 1693134452025 is 5202544313961.

The square root of 1693134452025 is 1301205.

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

1693134452025 is a `hidden beast` number, since 1 + 6 + 93 + 1 + 34 + 4 + 520 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 281448287289 + 1411686164736 = 530517^2 + 1188144^2 .

It is not a de Polignac number, because 1693134452025 - 2¹⁷ = 1693134320953 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1693134452027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4352530531 + ... + 4352530919.

Almost surely, 2^{1693134452025} is an apocalyptic number.

1693134452025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1693134452025 is the 1301205-th square number.

1693134452025 is the 650603-rd centered octagonal number.

It is an amenable number.

1693134452025 is a deficient number, since it is larger than the sum of its proper divisors (1360968639924).

1693134452025 is an frugal number, since it uses more digits than its factorization.

1693134452025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 1693134452025 its reverse (5202544313961), we get a palindrome (6895678765986).

The spelling of 1693134452025 in words is "one trillion, six hundred ninety-three billion, one hundred thirty-four million, four hundred fifty-two thousand, twenty-five".