253081061594361 has 192 divisors, whose sum is σ = 514171111749120. Its totient is φ = 119695109529600.

The previous prime is 253081061594357. The next prime is 253081061594401. The reversal of 253081061594361 is 163495160180352.

253081061594361 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 8 + 10 + 6 + 1 + 594 + 36 + 1 = 666.

253081061594361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253081061594361 - 2² = 253081061594357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253081061594298 and 253081061594307.

It is not an unprimeable number, because it can be changed into a prime (253081061592361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15872041 + ... + 27533321.

It is an arithmetic number, because the mean of its divisors is an integer number (2677974540360).

Almost surely, 2^{253081061594361} is an apocalyptic number.

253081061594361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

253081061594361 is an abundant number, since it is smaller than the sum of its proper divisors (261090050154759).

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

253081061594361 is a wasteful number, since it uses less digits than its factorization.

253081061594361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11661405 (or 11661388 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 253081061594361 in words is "two hundred fifty-three trillion, eighty-one billion, sixty-one million, five hundred ninety-four thousand, three hundred sixty-one".