1253990817 has 18 divisors (see below), whose sum is σ = 1819524642. Its totient is φ = 832216896.

The previous prime is 1253990807. The next prime is 1253990821. The reversal of 1253990817 is 7180993521.

1253990817 is a `hidden beast` number, since 12 + 539 + 90 + 8 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 952586496 + 301404321 = 30864^2 + 17361^2 .

It is not a de Polignac number, because 1253990817 - 2⁶ = 1253990753 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1253990807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1949898 + ... + 1950540.

Almost surely, 2^1253990817 is an apocalyptic number.

It is an amenable number.

1253990817 is a deficient number, since it is larger than the sum of its proper divisors (565533825).

1253990817 is an frugal number, since it uses more digits than its factorization.

1253990817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1253990817 is about 35411.7327590729. The cubic root of 1253990817 is about 1078.3625211072.

The spelling of 1253990817 in words is "one billion, two hundred fifty-three million, nine hundred ninety thousand, eight hundred seventeen".