253982751381 has 24 divisors (see below), whose sum is σ = 368362025304. Its totient is φ = 168630681600.

The previous prime is 253982751307. The next prime is 253982751403. The reversal of 253982751381 is 183157289352.

253982751381 is a `hidden beast` number, since 2 + 539 + 8 + 2 + 75 + 1 + 38 + 1 = 666.

253982751381 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 4 ways, for example, as 121511502225 + 132471249156 = 348585^2 + 363966^2 .

It is a de Polignac number, because none of the positive numbers 2^k-253982751381 is a prime.

It is a super-2 number, since 2×253982751381² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253982751301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22201395 + ... + 22212831.

It is an arithmetic number, because the mean of its divisors is an integer number (15348417721).

Almost surely, 2^253982751381 is an apocalyptic number.

It is an amenable number.

253982751381 is a deficient number, since it is larger than the sum of its proper divisors (114379273923).

253982751381 is a wasteful number, since it uses less digits than its factorization.

253982751381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21301 (or 21298 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 253982751381 in words is "two hundred fifty-three billion, nine hundred eighty-two million, seven hundred fifty-one thousand, three hundred eighty-one".