13253219028 has 288 divisors, whose sum is σ = 41135238144. Its totient is φ = 3652604928.

The previous prime is 13253219011. The next prime is 13253219069. The reversal of 13253219028 is 82091235231.

13253219028 is a `hidden beast` number, since 1 + 32 + 532 + 1 + 90 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13253218983 and 13253219001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28379251 + ... + 28379717.

It is an arithmetic number, because the mean of its divisors is an integer number (142830688).

Almost surely, 2^13253219028 is an apocalyptic number.

13253219028 is a gapful number since it is divisible by the number (18) 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 13253219028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20567619072).

13253219028 is an abundant number, since it is smaller than the sum of its proper divisors (27882019116).

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

13253219028 is a wasteful number, since it uses less digits than its factorization.

13253219028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13253219028 in words is "thirteen billion, two hundred fifty-three million, two hundred nineteen thousand, twenty-eight".