1353601280 has 72 divisors (see below), whose sum is σ = 3274095552. Its totient is φ = 536131584.

The previous prime is 1353601261. The next prime is 1353601289. The reversal of 1353601280 is 821063531.

It is not an unprimeable number, because it can be changed into a prime (1353601289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126707 + ... + 136973.

Almost surely, 2^1353601280 is an apocalyptic number.

1353601280 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 1353601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637047776).

1353601280 is an abundant number, since it is smaller than the sum of its proper divisors (1920494272).

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

1353601280 is a wasteful number, since it uses less digits than its factorization.

1353601280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10391 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1353601280 is about 36791.3207156253. The cubic root of 1353601280 is about 1106.1913347123.

The spelling of 1353601280 in words is "one billion, three hundred fifty-three million, six hundred one thousand, two hundred eighty".