1253797281 has 81 divisors (see below), whose sum is σ = 2118884313. Its totient is φ = 713845440.

The previous prime is 1253797273. The next prime is 1253797283. The reversal of 1253797281 is 1827973521.

The square root of 1253797281 is 35409.

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

1253797281 is a `hidden beast` number, since 1 + 2 + 537 + 97 + 28 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 266832225 + 986965056 = 16335^2 + 31416^2 .

It is not a de Polignac number, because 1253797281 - 2³ = 1253797273 is a prime.

It is a super-2 number, since 2×1253797281² = 3144015243685985922, which contains 22 as substring.

Its product of digits (211680) is a multiple of the sum of its prime divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1253797283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33886395 + ... + 33886431.

Almost surely, 2^1253797281 is an apocalyptic number.

1253797281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1253797281 is the 35409-th square number.

1253797281 is the 17705-th centered octagonal number.

It is an amenable number.

1253797281 is a deficient number, since it is larger than the sum of its proper divisors (865087032).

1253797281 is a wasteful number, since it uses less digits than its factorization.

1253797281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 80 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The cubic root of 1253797281 is about 1078.3070415126.

The spelling of 1253797281 in words is "one billion, two hundred fifty-three million, seven hundred ninety-seven thousand, two hundred eighty-one".