1965961013552 has 40 divisors (see below), whose sum is σ = 3944286768240. Its totient is φ = 948147495680.

The previous prime is 1965961013507. The next prime is 1965961013557. The reversal of 1965961013552 is 2553101695691.

It is a super-3 number, since 3×1965961013552³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1965961013494 and 1965961013503.

It is not an unprimeable number, because it can be changed into a prime (1965961013557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1621274 + ... + 2561337.

It is an arithmetic number, because the mean of its divisors is an integer number (98607169206).

Almost surely, 2^{1965961013552} is an apocalyptic number.

It is an amenable number.

1965961013552 is an abundant number, since it is smaller than the sum of its proper divisors (1978325754688).

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

1965961013552 is a wasteful number, since it uses less digits than its factorization.

1965961013552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183661 (or 4183655 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 53.

The spelling of 1965961013552 in words is "one trillion, nine hundred sixty-five billion, nine hundred sixty-one million, thirteen thousand, five hundred fifty-two".