153884382961 has 3 divisors (see below), whose sum is σ = 153884775243. Its totient is φ = 153883990680.

The previous prime is 153884382923. The next prime is 153884382991. The reversal of 153884382961 is 169283488351.

The square root of 153884382961 is 392281.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 19664733361 + 134219649600 = 140231^2 + 366360^2 .

It is not a de Polignac number, because 153884382961 - 2³¹ = 151736899313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 153884382896 and 153884382905.

It is not an unprimeable number, because it can be changed into a prime (153884382991) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 196141 + ... + 588421.

It is an arithmetic number, because the mean of its divisors is an integer number (51294925081).

Almost surely, 2^153884382961 is an apocalyptic number.

153884382961 is the 392281-st square number.

153884382961 is the 196141-st centered octagonal number.

It is an amenable number.

153884382961 is a deficient number, since it is larger than the sum of its proper divisors (392282).

153884382961 is an frugal number, since it uses more digits than its factorization.

153884382961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784562 (or 392281 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 58.

The spelling of 153884382961 in words is "one hundred fifty-three billion, eight hundred eighty-four million, three hundred eighty-two thousand, nine hundred sixty-one".