10023532525305 has 96 divisors (see below), whose sum is σ = 18851926897440. Its totient is φ = 4926634352640.

The previous prime is 10023532525301. The next prime is 10023532525309. The reversal of 10023532525305 is 50352523532001.

10023532525305 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 5 + 325 + 25 + 305 = 666.

It is an interprime number because it is at equal distance from previous prime (10023532525301) and next prime (10023532525309).

It can be written as a sum of positive squares in 16 ways, for example, as 7867419131664 + 2156113393641 = 2804892^2 + 1468371^2 .

It is not a de Polignac number, because 10023532525305 - 2² = 10023532525301 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10023532525305.

It is not an unprimeable number, because it can be changed into a prime (10023532525301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60917545 + ... + 61081865.

It is an arithmetic number, because the mean of its divisors is an integer number (196374238515).

Almost surely, 2^{10023532525305} is an apocalyptic number.

10023532525305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10023532525305 is a deficient number, since it is larger than the sum of its proper divisors (8828394372135).

10023532525305 is a wasteful number, since it uses less digits than its factorization.

10023532525305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164988 (or 164959 counting only the distinct ones).

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

The spelling of 10023532525305 in words is "ten trillion, twenty-three billion, five hundred thirty-two million, five hundred twenty-five thousand, three hundred five".