253741424147352 has 64 divisors (see below), whose sum is σ = 721228854192000. Its totient is φ = 82613486928672.

The previous prime is 253741424147227. The next prime is 253741424147357.

253741424147352 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 4 + 1 + 4 + 241 + 47 + 352 = 666.

253741424147352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×253741424147352² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253741424147357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13659628102 + ... + 13659646677.

It is an arithmetic number, because the mean of its divisors is an integer number (11269200846750).

Almost surely, 2^{253741424147352} is an apocalyptic number.

It is an amenable number.

253741424147352 is an abundant number, since it is smaller than the sum of its proper divisors (467487430044648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253741424147352 is a wasteful number, since it uses less digits than its factorization.

253741424147352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27319274837 (or 27319274827 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 253741424147352 in words is "two hundred fifty-three trillion, seven hundred forty-one billion, four hundred twenty-four million, one hundred forty-seven thousand, three hundred fifty-two".