1253288080 has 40 divisors (see below), whose sum is σ = 3178796544. Its totient is φ = 455740800.

The previous prime is 1253288077. The next prime is 1253288081. The reversal of 1253288080 is 808823521.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1253288080² = 3141462022940172800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) 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 (1253288081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711216 + ... + 712975.

Almost surely, 2^1253288080 is an apocalyptic number.

1253288080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253288080 is an abundant number, since it is smaller than the sum of its proper divisors (1925508464).

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

1253288080 is a wasteful number, since it uses less digits than its factorization.

1253288080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424215 (or 1424209 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 1253288080 is about 35401.8089933269. The cubic root of 1253288080 is about 1078.1610451913.

The spelling of 1253288080 in words is "one billion, two hundred fifty-three million, two hundred eighty-eight thousand, eighty".