1253170680 has 128 divisors (see below), whose sum is σ = 3865881600. Its totient is φ = 324859392.

The previous prime is 1253170643. The next prime is 1253170687. The reversal of 1253170680 is 860713521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253170687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634174 + ... + 636146.

It is an arithmetic number, because the mean of its divisors is an integer number (30202200).

Almost surely, 2^1253170680 is an apocalyptic number.

1253170680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253170680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932940800).

1253170680 is an abundant number, since it is smaller than the sum of its proper divisors (2612710920).

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

1253170680 is a wasteful number, since it uses less digits than its factorization.

1253170680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1253170680 is about 35400.1508471362. The cubic root of 1253170680 is about 1078.1273790664.

The spelling of 1253170680 in words is "one billion, two hundred fifty-three million, one hundred seventy thousand, six hundred eighty".