253450010541 has 96 divisors (see below), whose sum is σ = 440932638720. Its totient is φ = 125754249600.

The previous prime is 253450010537. The next prime is 253450010543. The reversal of 253450010541 is 145010054352.

It is not a de Polignac number, because 253450010541 - 2² = 253450010537 is a prime.

It is a super-2 number, since 2×253450010541² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253450010499 and 253450010508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253450010543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118267716 + ... + 118269858.

It is an arithmetic number, because the mean of its divisors is an integer number (4593048320).

Almost surely, 2^253450010541 is an apocalyptic number.

253450010541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

253450010541 is a deficient number, since it is larger than the sum of its proper divisors (187482628179).

253450010541 is a wasteful number, since it uses less digits than its factorization.

253450010541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 253450010541 its reverse (145010054352), we get a palindrome (398460064893).

The spelling of 253450010541 in words is "two hundred fifty-three billion, four hundred fifty million, ten thousand, five hundred forty-one".