253879132057 has 2 divisors, whose sum is σ = 253879132058. Its totient is φ = 253879132056.

The previous prime is 253879132037. The next prime is 253879132063. The reversal of 253879132057 is 750231978352.

It is a happy number.

253879132057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252309308416 + 1569823641 = 502304^2 + 39621^2 .

It is a cyclic number.

It is not a de Polignac number, because 253879132057 - 2¹⁵ = 253879099289 is a prime.

It is a super-2 number, since 2×253879132057² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253879131995 and 253879132013.

It is not a weakly prime, because it can be changed into another prime (253879132037) 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 as a sum of consecutive naturals, namely, 126939566028 + 126939566029.

It is an arithmetic number, because the mean of its divisors is an integer number (126939566029).

Almost surely, 2^253879132057 is an apocalyptic number.

It is an amenable number.

253879132057 is a deficient number, since it is larger than the sum of its proper divisors (1).

253879132057 is an equidigital number, since it uses as much as digits as its factorization.

253879132057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3175200, while the sum is 52.

The spelling of 253879132057 in words is "two hundred fifty-three billion, eight hundred seventy-nine million, one hundred thirty-two thousand, fifty-seven".