13534002450 has 180 divisors, whose sum is σ = 38664115182. Its totient is φ = 3510086400.

The previous prime is 13534002437. The next prime is 13534002491. The reversal of 13534002450 is 5420043531.

13534002450 is a `hidden beast` number, since 13 + 5 + 3 + 400 + 245 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 2790058041 + 10743944409 = 52821^2 + 103653^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5543230 + ... + 5545670.

Almost surely, 2^13534002450 is an apocalyptic number.

13534002450 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 13534002450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19332057591).

13534002450 is an abundant number, since it is smaller than the sum of its proper divisors (25130112732).

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

13534002450 is a wasteful number, since it uses less digits than its factorization.

13534002450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 13534002450 its reverse (5420043531), we get a palindrome (18954045981).

The spelling of 13534002450 in words is "thirteen billion, five hundred thirty-four million, two thousand, four hundred fifty".