1253117025 has 36 divisors (see below), whose sum is σ = 2249973180. Its totient is φ = 666691200.

The previous prime is 1253117017. The next prime is 1253117053. The reversal of 1253117025 is 5207113521.

It can be written as a sum of positive squares in 6 ways, for example, as 19421649 + 1233695376 = 4407^2 + 35124^2 .

It is not a de Polignac number, because 1253117025 - 2³ = 1253117017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1253117025.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88111 + ... + 101339.

It is an arithmetic number, because the mean of its divisors is an integer number (62499255).

Almost surely, 2^1253117025 is an apocalyptic number.

1253117025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1253117025 is a deficient number, since it is larger than the sum of its proper divisors (996856155).

1253117025 is a wasteful number, since it uses less digits than its factorization.

1253117025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13666 (or 13658 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1253117025 is about 35399.3930032706. The cubic root of 1253117025 is about 1078.1119920296. Note that the first 3 decimals are identical.

The spelling of 1253117025 in words is "one billion, two hundred fifty-three million, one hundred seventeen thousand, twenty-five".