13535340541152 has 48 divisors (see below), whose sum is σ = 35810034849792. Its totient is φ = 4476254348160.

The previous prime is 13535340541133. The next prime is 13535340541169. The reversal of 13535340541152 is 25114504353531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×13535340541152³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555078874 + ... + 555103257.

It is an arithmetic number, because the mean of its divisors is an integer number (746042392704).

Almost surely, 2^{13535340541152} is an apocalyptic number.

13535340541152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13535340541152 is an abundant number, since it is smaller than the sum of its proper divisors (22274694308640).

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

13535340541152 is a wasteful number, since it uses less digits than its factorization.

13535340541152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110182271 (or 1110182263 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

Adding to 13535340541152 its reverse (25114504353531), we get a palindrome (38649844894683).

The spelling of 13535340541152 in words is "thirteen trillion, five hundred thirty-five billion, three hundred forty million, five hundred forty-one thousand, one hundred fifty-two".