10253040345 has 80 divisors (see below), whose sum is σ = 18592104960. Its totient is φ = 5405481216.

The previous prime is 10253040331. The next prime is 10253040353. The reversal of 10253040345 is 54304035201.

10253040345 is a `hidden beast` number, since 1 + 0 + 253 + 0 + 403 + 4 + 5 = 666.

10253040345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10253040345 - 2⁵ = 10253040313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16891032 + ... + 16891638.

It is an arithmetic number, because the mean of its divisors is an integer number (232401312).

Almost surely, 2^10253040345 is an apocalyptic number.

10253040345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10253040345 is a deficient number, since it is larger than the sum of its proper divisors (8339064615).

10253040345 is a wasteful number, since it uses less digits than its factorization.

10253040345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10253040345 its reverse (54304035201), we get a palindrome (64557075546).

The spelling of 10253040345 in words is "ten billion, two hundred fifty-three million, forty thousand, three hundred forty-five".