1253681680 has 40 divisors (see below), whose sum is σ = 2929948632. Its totient is φ = 498868224.

The previous prime is 1253681669. The next prime is 1253681707. The reversal of 1253681680 is 861863521.

It can be written as a sum of positive squares in 4 ways, for example, as 72522256 + 1181159424 = 8516^2 + 34368^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 25159 + ... + 56038.

Almost surely, 2^1253681680 is an apocalyptic number.

1253681680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253681680 is an abundant number, since it is smaller than the sum of its proper divisors (1676266952).

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

1253681680 is a wasteful number, since it uses less digits than its factorization.

1253681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81403 (or 81397 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 1253681680 is about 35407.3675948947. The cubic root of 1253681680 is about 1078.2739002689.

The spelling of 1253681680 in words is "one billion, two hundred fifty-three million, six hundred eighty-one thousand, six hundred eighty".