1961003520 has 600 divisors, whose sum is σ = 8212754484. Its totient is φ = 445906944.

The previous prime is 1961003489. The next prime is 1961003557. The reversal of 1961003520 is 253001691.

1961003520 is a `hidden beast` number, since 19 + 610 + 0 + 35 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1878702336 + 82301184 = 43344^2 + 9072^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10160544 + ... + 10160736.

Almost surely, 2^1961003520 is an apocalyptic number.

1961003520 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 1961003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106377242).

1961003520 is an abundant number, since it is smaller than the sum of its proper divisors (6251750964).

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

1961003520 is an equidigital number, since it uses as much as digits as its factorization.

1961003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1961003520 is about 44283.2193951614. The cubic root of 1961003520 is about 1251.6784960453.

The spelling of 1961003520 in words is "one billion, nine hundred sixty-one million, three thousand, five hundred twenty".