13457576652 has 192 divisors, whose sum is σ = 38070789120. Its totient is φ = 3654844416.

The previous prime is 13457576617. The next prime is 13457576689. The reversal of 13457576652 is 25667575431.

It is a super-2 number, since 2×13457576652² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 13457576595 and 13457576604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5188668 + ... + 5191260.

It is an arithmetic number, because the mean of its divisors is an integer number (198285360).

Almost surely, 2^13457576652 is an apocalyptic number.

13457576652 is a gapful number since it is divisible by the number (12) 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 13457576652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035394560).

13457576652 is an abundant number, since it is smaller than the sum of its proper divisors (24613212468).

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

13457576652 is a wasteful number, since it uses less digits than its factorization.

13457576652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2750 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 51.

The spelling of 13457576652 in words is "thirteen billion, four hundred fifty-seven million, five hundred seventy-six thousand, six hundred fifty-two".