1601261100 has 216 divisors, whose sum is σ = 5467098000. Its totient is φ = 390458880.

The previous prime is 1601261087. The next prime is 1601261107. The reversal of 1601261100 is 11621061.

1601261100 is a `hidden beast` number, since 1 + 601 + 2 + 61 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×1601261100² = 5128074220746420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1601261107) 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 71 ways as a sum of consecutive naturals, for example, 494286 + ... + 497514.

Almost surely, 2^1601261100 is an apocalyptic number.

1601261100 is a gapful number since it is divisible by the number (10) 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 1601261100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733549000).

1601261100 is an abundant number, since it is smaller than the sum of its proper divisors (3865836900).

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

1601261100 is a wasteful number, since it uses less digits than its factorization.

1601261100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1601261100 is about 40015.7606450259. The cubic root of 1601261100 is about 1169.9143044839.

Adding to 1601261100 its reverse (11621061), we get a palindrome (1612882161).

The spelling of 1601261100 in words is "one billion, six hundred one million, two hundred sixty-one thousand, one hundred".