1253193138 has 24 divisors (see below), whose sum is σ = 2723322108. Its totient is φ = 416489472.

The previous prime is 1253193119. The next prime is 1253193163. The reversal of 1253193138 is 8313913521.

1253193138 is a `hidden beast` number, since 1 + 2 + 531 + 93 + 1 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1247007969 + 6185169 = 35313^2 + 2487^2 .

It is a super-3 number, since 3×1253193138³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97231 + ... + 109362.

Almost surely, 2^1253193138 is an apocalyptic number.

1253193138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1253193138 is an abundant number, since it is smaller than the sum of its proper divisors (1470128970).

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

1253193138 is a wasteful number, since it uses less digits than its factorization.

1253193138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206938 (or 206935 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 1253193138 is about 35400.4680477533. The cubic root of 1253193138 is about 1078.1338193809.

The spelling of 1253193138 in words is "one billion, two hundred fifty-three million, one hundred ninety-three thousand, one hundred thirty-eight".