531540145000 has 160 divisors (see below), whose sum is σ = 1285457896800. Its totient is φ = 205885152000.

The previous prime is 531540144997. The next prime is 531540145027. The reversal of 531540145000 is 541045135.

It is a self number, because there is not a number n which added to its sum of digits gives 531540145000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19751554 + ... + 19778446.

It is an arithmetic number, because the mean of its divisors is an integer number (8034111855).

Almost surely, 2^531540145000 is an apocalyptic number.

531540145000 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 531540145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642728948400).

531540145000 is an abundant number, since it is smaller than the sum of its proper divisors (753917751800).

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

531540145000 is a wasteful number, since it uses less digits than its factorization.

531540145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27045 (or 27026 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 531540145000 in words is "five hundred thirty-one billion, five hundred forty million, one hundred forty-five thousand".