1301653080 has 192 divisors, whose sum is σ = 5206743360. Its totient is φ = 274627584.

The previous prime is 1301653049. The next prime is 1301653097. The reversal of 1301653080 is 803561031.

1301653080 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 653 + 0 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12894 + ... + 52626.

It is an arithmetic number, because the mean of its divisors is an integer number (27118455).

Almost surely, 2^1301653080 is an apocalyptic number.

1301653080 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 1301653080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603371680).

1301653080 is an abundant number, since it is smaller than the sum of its proper divisors (3905090280).

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

1301653080 is a wasteful number, since it uses less digits than its factorization.

1301653080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39770 (or 39763 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1301653080 is about 36078.4295667092. The cubic root of 1301653080 is about 1091.8552921800.

The spelling of 1301653080 in words is "one billion, three hundred one million, six hundred fifty-three thousand, eighty".