601781600052 has 72 divisors (see below), whose sum is σ = 1546926381000. Its totient is φ = 197200926720.

The previous prime is 601781600051. The next prime is 601781600117. The reversal of 601781600052 is 250006187106.

It can be written as a sum of positive squares in 4 ways, for example, as 38480314896 + 563301285156 = 196164^2 + 750534^2 .

It is a super-2 number, since 2×601781600052² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601781600051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4129324 + ... + 4272572.

It is an arithmetic number, because the mean of its divisors is an integer number (21485088625).

Almost surely, 2^601781600052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601781600052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773463190500).

601781600052 is an abundant number, since it is smaller than the sum of its proper divisors (945144780948).

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

601781600052 is a wasteful number, since it uses less digits than its factorization.

601781600052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145233 (or 145228 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 601781600052 its reverse (250006187106), we get a palindrome (851787787158).

The spelling of 601781600052 in words is "six hundred one billion, seven hundred eighty-one million, six hundred thousand, fifty-two".