153053870841 has 45 divisors (see below), whose sum is σ = 242971357629. Its totient is φ = 95996244096.

The previous prime is 153053870819. The next prime is 153053870861. The reversal of 153053870841 is 148078350351.

It is a happy number.

The square root of 153053870841 is 391221.

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

153053870841 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 538 + 70 + 8 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7572654441 + 145481216400 = 87021^2 + 381420^2 .

It is not a de Polignac number, because 153053870841 - 2⁹ = 153053870329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153053870861) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59855535 + ... + 59858091.

Almost surely, 2^153053870841 is an apocalyptic number.

153053870841 is the 391221-st square number.

153053870841 is the 195611-st centered octagonal number.

It is an amenable number.

153053870841 is a deficient number, since it is larger than the sum of its proper divisors (89917486788).

153053870841 is an frugal number, since it uses more digits than its factorization.

153053870841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 153053870841 in words is "one hundred fifty-three billion, fifty-three million, eight hundred seventy thousand, eight hundred forty-one".