361533151020 has 192 divisors, whose sum is σ = 1107930700800. Its totient is φ = 87735997440.

The previous prime is 361533151009. The next prime is 361533151027. The reversal of 361533151020 is 20151335163.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (361533151027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6485065 + ... + 6540575.

It is an arithmetic number, because the mean of its divisors is an integer number (5770472400).

Almost surely, 2^361533151020 is an apocalyptic number.

361533151020 is a gapful number since it is divisible by the number (30) 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 361533151020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553965350400).

361533151020 is an abundant number, since it is smaller than the sum of its proper divisors (746397549780).

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

361533151020 is a wasteful number, since it uses less digits than its factorization.

361533151020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55768 (or 55766 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 361533151020 its reverse (20151335163), we get a palindrome (381684486183).

The spelling of 361533151020 in words is "three hundred sixty-one billion, five hundred thirty-three million, one hundred fifty-one thousand, twenty".