254131523252032 has 28 divisors (see below), whose sum is σ = 521681629093380. Its totient is φ = 122684183638016.

The previous prime is 254131523252017. The next prime is 254131523252051. The reversal of 254131523252032 is 230252325131452.

254131523252032 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 2 ways, for example, as 140465732126976 + 113665791125056 = 11851824^2 + 10661416^2 .

It is a super-2 number, since 2×254131523252032² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68462154193 + ... + 68462157904.

It is an arithmetic number, because the mean of its divisors is an integer number (18631486753335).

Almost surely, 2^{254131523252032} is an apocalyptic number.

It is an amenable number.

254131523252032 is an abundant number, since it is smaller than the sum of its proper divisors (267550105841348).

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

254131523252032 is a wasteful number, since it uses less digits than its factorization.

254131523252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136924312138 (or 136924312128 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 254131523252032 its reverse (230252325131452), we get a palindrome (484383848383484).

The spelling of 254131523252032 in words is "two hundred fifty-four trillion, one hundred thirty-one billion, five hundred twenty-three million, two hundred fifty-two thousand, thirty-two".