541352500000 has 192 divisors, whose sum is σ = 1434796717536. Its totient is φ = 199872000000.

The previous prime is 541352499949. The next prime is 541352500009. The reversal of 541352500000 is 5253145.

It can be written as a sum of positive squares in 16 ways, for example, as 539243486224 + 2109013776 = 734332^2 + 45924^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (541352500009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32491672 + ... + 32508328.

Almost surely, 2^541352500000 is an apocalyptic number.

541352500000 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 541352500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717398358768).

541352500000 is an abundant number, since it is smaller than the sum of its proper divisors (893444217536).

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

541352500000 is an frugal number, since it uses more digits than its factorization.

541352500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16715 (or 16677 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 541352500000 its reverse (5253145), we get a palindrome (541357753145).

The spelling of 541352500000 in words is "five hundred forty-one billion, three hundred fifty-two million, five hundred thousand".