1253681360 has 40 divisors (see below), whose sum is σ = 2993594856. Its totient is φ = 487918080.

The previous prime is 1253681353. The next prime is 1253681393. The reversal of 1253681360 is 631863521.

It can be written as a sum of positive squares in 4 ways, for example, as 109077136 + 1144604224 = 10444^2 + 33832^2 .

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

It is a super-2 number, since 2×1253681360² = 3143433904822899200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1253681360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208811 + ... + 214730.

Almost surely, 2^1253681360 is an apocalyptic number.

1253681360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253681360 is an abundant number, since it is smaller than the sum of its proper divisors (1739913496).

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

1253681360 is a wasteful number, since it uses less digits than its factorization.

1253681360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423591 (or 423585 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 1253681360 is about 35407.3630760609. The cubic root of 1253681360 is about 1078.2738085264.

The spelling of 1253681360 in words is "one billion, two hundred fifty-three million, six hundred eighty-one thousand, three hundred sixty".