10505200351 has 8 divisors (see below), whose sum is σ = 10706895360. Its totient is φ = 10305364608.

The previous prime is 10505200333. The next prime is 10505200373. The reversal of 10505200351 is 15300250501.

10505200351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10505200351 - 2⁵ = 10505200319 is a prime.

It is a super-2 number, since 2×10505200351² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505203351) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 453406 + ... + 476011.

It is an arithmetic number, because the mean of its divisors is an integer number (1338361920).

Almost surely, 2^10505200351 is an apocalyptic number.

10505200351 is a deficient number, since it is larger than the sum of its proper divisors (201695009).

10505200351 is an equidigital number, since it uses as much as digits as its factorization.

10505200351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929633.

The product of its (nonzero) digits is 750, while the sum is 22.

Adding to 10505200351 its reverse (15300250501), we get a palindrome (25805450852).

The spelling of 10505200351 in words is "ten billion, five hundred five million, two hundred thousand, three hundred fifty-one".