381306250000 has 405 divisors, whose sum is σ = 1055376901053. Its totient is φ = 133380000000.

The previous prime is 381306249997. The next prime is 381306250027. The reversal of 381306250000 is 52603183.

The square root of 381306250000 is 617500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 11272493584 + 370033756416 = 106172^2 + 608304^2 .

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 80 ways as a sum of consecutive naturals, for example, 20068749991 + ... + 20068750009.

Almost surely, 2^381306250000 is an apocalyptic number.

381306250000 is the 617500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381306250000

381306250000 is an abundant number, since it is smaller than the sum of its proper divisors (674070651053).

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

381306250000 is an frugal number, since it uses more digits than its factorization.

381306250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 381306250000 its reverse (52603183), we get a palindrome (381358853183).

The spelling of 381306250000 in words is "three hundred eighty-one billion, three hundred six million, two hundred fifty thousand".