2953512338961 has 32 divisors (see below), whose sum is σ = 4039468646400. Its totient is φ = 1918654053120.

The previous prime is 2953512338939. The next prime is 2953512338983. The reversal of 2953512338961 is 1698332153592.

2953512338961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2953512338939) and next prime (2953512338983).

It is not a de Polignac number, because 2953512338961 - 2⁶ = 2953512338897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2953512338911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192290800 + ... + 192306158.

It is an arithmetic number, because the mean of its divisors is an integer number (126233395200).

Almost surely, 2^{2953512338961} is an apocalyptic number.

It is an amenable number.

2953512338961 is a deficient number, since it is larger than the sum of its proper divisors (1085956307439).

2953512338961 is a wasteful number, since it uses less digits than its factorization.

2953512338961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21309.

The product of its digits is 10497600, while the sum is 57.

The spelling of 2953512338961 in words is "two trillion, nine hundred fifty-three billion, five hundred twelve million, three hundred thirty-eight thousand, nine hundred sixty-one".