534015101000 has 128 divisors (see below), whose sum is σ = 1325662472160. Its totient is φ = 200651776000.

The previous prime is 534015100999. The next prime is 534015101057. The reversal of 534015101000 is 101510435.

It can be written as a sum of positive squares in 16 ways, for example, as 35502850084 + 498512250916 = 188422^2 + 706054^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8826854 + ... + 8887146.

Almost surely, 2^534015101000 is an apocalyptic number.

534015101000 is a gapful number since it is divisible by the number (50) 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 534015101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662831236080).

534015101000 is an abundant number, since it is smaller than the sum of its proper divisors (791647371160).

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

534015101000 is a wasteful number, since it uses less digits than its factorization.

534015101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60852 (or 60838 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 534015101000 its reverse (101510435), we get a palindrome (534116611435).

The spelling of 534015101000 in words is "five hundred thirty-four billion, fifteen million, one hundred one thousand".