253785248541 has 48 divisors (see below), whose sum is σ = 402375936768. Its totient is φ = 152861385600.

The previous prime is 253785248539. The next prime is 253785248599. The reversal of 253785248541 is 145842587352.

It is a happy number.

253785248541 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 8 + 52 + 48 + 541 = 666.

It is not a de Polignac number, because 253785248541 - 2¹ = 253785248539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253785248641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10875276 + ... + 10898586.

It is an arithmetic number, because the mean of its divisors is an integer number (8382832016).

Almost surely, 2^253785248541 is an apocalyptic number.

It is an amenable number.

253785248541 is a deficient number, since it is larger than the sum of its proper divisors (148590688227).

253785248541 is a wasteful number, since it uses less digits than its factorization.

253785248541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24002 (or 23999 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The spelling of 253785248541 in words is "two hundred fifty-three billion, seven hundred eighty-five million, two hundred forty-eight thousand, five hundred forty-one".