961253383198401 has 12 divisors (see below), whose sum is σ = 1388951477776512. Its totient is φ = 640616649393336.

The previous prime is 961253383198369. The next prime is 961253383198417. The reversal of 961253383198401 is 104891383352169.

961253383198401 is a `hidden beast` number, since 9 + 6 + 1 + 2 + 5 + 3 + 38 + 3 + 198 + 401 = 666.

961253383198401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 961253383198401 - 2⁵ = 961253383198369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (961253383198001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18244922661 + ... + 18244975346.

It is an arithmetic number, because the mean of its divisors is an integer number (115745956481376).

Almost surely, 2^{961253383198401} is an apocalyptic number.

It is an amenable number.

961253383198401 is a deficient number, since it is larger than the sum of its proper divisors (427698094578111).

961253383198401 is a wasteful number, since it uses less digits than its factorization.

961253383198401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36489900940 (or 36489900937 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 961253383198401 in words is "nine hundred sixty-one trillion, two hundred fifty-three billion, three hundred eighty-three million, one hundred ninety-eight thousand, four hundred one".