13535540250 has 256 divisors, whose sum is σ = 37779416064. Its totient is φ = 3210240000.

The previous prime is 13535540231. The next prime is 13535540257. The reversal of 13535540250 is 5204553531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13535540257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29618022 + ... + 29618478.

It is an arithmetic number, because the mean of its divisors is an integer number (147575844).

Almost surely, 2^13535540250 is an apocalyptic number.

13535540250 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 13535540250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889708032).

13535540250 is an abundant number, since it is smaller than the sum of its proper divisors (24243875814).

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

13535540250 is a wasteful number, since it uses less digits than its factorization.

13535540250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 13535540250 in words is "thirteen billion, five hundred thirty-five million, five hundred forty thousand, two hundred fifty".