10005245263 has 32 divisors (see below), whose sum is σ = 11507118336. Its totient is φ = 8617771008.

The previous prime is 10005245233. The next prime is 10005245267. The reversal of 10005245263 is 36254250001.

It is a cyclic number.

It is not a de Polignac number, because 10005245263 - 2¹³ = 10005237071 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005245267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21609370 + ... + 21609832.

It is an arithmetic number, because the mean of its divisors is an integer number (359597448).

Almost surely, 2^10005245263 is an apocalyptic number.

10005245263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10005245263 is a deficient number, since it is larger than the sum of its proper divisors (1501873073).

10005245263 is a wasteful number, since it uses less digits than its factorization.

10005245263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123.

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 10005245263 its reverse (36254250001), we get a palindrome (46259495264).

The spelling of 10005245263 in words is "ten billion, five million, two hundred forty-five thousand, two hundred sixty-three".