1005113285357 has 2 divisors, whose sum is σ = 1005113285358. Its totient is φ = 1005113285356.

The previous prime is 1005113285269. The next prime is 1005113285411. The reversal of 1005113285357 is 7535823115001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 855308679241 + 149804606116 = 924829^2 + 387046^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005113285357 - 2²⁰ = 1005112236781 is a prime.

It is a super-2 number, since 2×1005113285357² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005113285557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502556642678 + 502556642679.

It is an arithmetic number, because the mean of its divisors is an integer number (502556642679).

Almost surely, 2^{1005113285357} is an apocalyptic number.

It is an amenable number.

1005113285357 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005113285357 is an equidigital number, since it uses as much as digits as its factorization.

1005113285357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126000, while the sum is 41.

The spelling of 1005113285357 in words is "one trillion, five billion, one hundred thirteen million, two hundred eighty-five thousand, three hundred fifty-seven".