34113054511530 has 160 divisors (see below), whose sum is σ = 95794067812608. Its totient is φ = 8694050112000.

The previous prime is 34113054511517. The next prime is 34113054511531. The reversal of 34113054511530 is 3511545031143.

34113054511530 is a `hidden beast` number, since 3 + 4 + 1 + 130 + 5 + 4 + 511 + 5 + 3 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (34113054511531) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21612315 + ... + 23136945.

Almost surely, 2^{34113054511530} is an apocalyptic number.

34113054511530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34113054511530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47897033906304).

34113054511530 is an abundant number, since it is smaller than the sum of its proper divisors (61681013301078).

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

34113054511530 is a wasteful number, since it uses less digits than its factorization.

34113054511530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525874 (or 1525865 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 34113054511530 its reverse (3511545031143), we get a palindrome (37624599542673).

The spelling of 34113054511530 in words is "thirty-four trillion, one hundred thirteen billion, fifty-four million, five hundred eleven thousand, five hundred thirty".