1253051680 has 96 divisors (see below), whose sum is σ = 3008130048. Its totient is φ = 493209600.

The previous prime is 1253051677. The next prime is 1253051693. The reversal of 1253051680 is 861503521.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4003204 + ... + 4003516.

It is an arithmetic number, because the mean of its divisors is an integer number (31334688).

Almost surely, 2^1253051680 is an apocalyptic number.

1253051680 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 1253051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504065024).

1253051680 is an abundant number, since it is smaller than the sum of its proper divisors (1755078368).

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

1253051680 is a wasteful number, since it uses less digits than its factorization.

1253051680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 1253051680 is about 35398.4700234346. The cubic root of 1253051680 is about 1078.0932519728.

The spelling of 1253051680 in words is "one billion, two hundred fifty-three million, fifty-one thousand, six hundred eighty".