1961511552 has 768 divisors, whose sum is σ = 8009366400. Its totient is φ = 470292480.

The previous prime is 1961511529. The next prime is 1961511557. The reversal of 1961511552 is 2551151691.

1961511552 is a `hidden beast` number, since 1 + 96 + 1 + 5 + 11 + 552 = 666.

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

Its product of digits (13500) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1961511557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150885498 + ... + 150885510.

Almost surely, 2^1961511552 is an apocalyptic number.

1961511552 is a gapful number since it is divisible by the number (12) 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 1961511552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004683200).

1961511552 is an abundant number, since it is smaller than the sum of its proper divisors (6047854848).

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

1961511552 is an equidigital number, since it uses as much as digits as its factorization.

1961511552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its digits is 13500, while the sum is 36.

The square root of 1961511552 is about 44288.9551920115. The cubic root of 1961511552 is about 1251.7865763926.

The spelling of 1961511552 in words is "one billion, nine hundred sixty-one million, five hundred eleven thousand, five hundred fifty-two".