13753530 has 128 divisors (see below), whose sum is σ = 44236800. Its totient is φ = 2970432.

The previous prime is 13753513. The next prime is 13753541. The reversal of 13753530 is 3535731.

It is a super-3 number, since 3×13753530³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13753494 and 13753503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35719 + ... + 36101.

It is an arithmetic number, because the mean of its divisors is an integer number (345600).

Almost surely, 2^13753530 is an apocalyptic number.

13753530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13753530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22118400).

13753530 is an abundant number, since it is smaller than the sum of its proper divisors (30483270).

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

13753530 is a wasteful number, since it uses less digits than its factorization.

13753530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 13753530 is about 3708.5751981051. The cubic root of 13753530 is about 239.5914925682.

The spelling of 13753530 in words is "thirteen million, seven hundred fifty-three thousand, five hundred thirty".