1025305345305 has 24 divisors (see below), whose sum is σ = 1777797175752. Its totient is φ = 546644519424.

The previous prime is 1025305345301. The next prime is 1025305345333. The reversal of 1025305345305 is 5035435035201.

1025305345305 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 3 + 0 + 5 + 345 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32022028809 + 993283316496 = 178947^2 + 996636^2 .

It is not a de Polignac number, because 1025305345305 - 2² = 1025305345301 is a prime.

It is a super-2 number, since 2×1025305345305² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1025305345305.

It is not an unprimeable number, because it can be changed into a prime (1025305345301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3719584 + ... + 3985713.

It is an arithmetic number, because the mean of its divisors is an integer number (74074882323).

Almost surely, 2^{1025305345305} is an apocalyptic number.

1025305345305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1025305345305 is a deficient number, since it is larger than the sum of its proper divisors (752491830447).

1025305345305 is a wasteful number, since it uses less digits than its factorization.

1025305345305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708265 (or 7708262 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 1025305345305 in words is "one trillion, twenty-five billion, three hundred five million, three hundred forty-five thousand, three hundred five".