253015505041 has 8 divisors (see below), whose sum is σ = 279842513384. Its totient is φ = 227240536320.

The previous prime is 253015505033. The next prime is 253015505047. The reversal of 253015505041 is 140505510352.

253015505041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 119702160400 + 133313344641 = 345980^2 + 365121^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 253015505041 - 2³ = 253015505033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 253015504994 and 253015505012.

It is not an unprimeable number, because it can be changed into a prime (253015505047) 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, 263009400 + ... + 263010361.

It is an arithmetic number, because the mean of its divisors is an integer number (34980314173).

Almost surely, 2^253015505041 is an apocalyptic number.

It is an amenable number.

253015505041 is a deficient number, since it is larger than the sum of its proper divisors (26827008343).

253015505041 is a wasteful number, since it uses less digits than its factorization.

253015505041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526019811.

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 253015505041 in words is "two hundred fifty-three billion, fifteen million, five hundred five thousand, forty-one".