10527262013 has 8 divisors (see below), whose sum is σ = 10572277560. Its totient is φ = 10482278400.

The previous prime is 10527262003. The next prime is 10527262061. The reversal of 10527262013 is 31026272501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 676104004 + 9851158009 = 26002^2 + 99253^2 .

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 10527262013 - 2⁶ = 10527261949 is a prime.

It is a super-2 number, since 2×10527262013² (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 (10527262003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842153 + ... + 854561.

It is an arithmetic number, because the mean of its divisors is an integer number (1321534695).

Almost surely, 2^10527262013 is an apocalyptic number.

It is an amenable number.

10527262013 is a deficient number, since it is larger than the sum of its proper divisors (45015547).

10527262013 is a wasteful number, since it uses less digits than its factorization.

10527262013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15967.

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 10527262013 in words is "ten billion, five hundred twenty-seven million, two hundred sixty-two thousand, thirteen".