10526013 has 24 divisors (see below), whose sum is σ = 15855840. Its totient is φ = 6723360.

The previous prime is 10525997. The next prime is 10526023. The reversal of 10526013 is 31062501.

10526013 is a `hidden beast` number, since 10 + 52 + 601 + 3 = 666.

10526013 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10526013 - 2⁴ = 10525997 is a prime.

It is a super-2 number, since 2×10526013² = 221593899352338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10526023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22603 + ... + 23063.

It is an arithmetic number, because the mean of its divisors is an integer number (660660).

Almost surely, 2^10526013 is an apocalyptic number.

It is an amenable number.

10526013 is a deficient number, since it is larger than the sum of its proper divisors (5329827).

10526013 is a wasteful number, since it uses less digits than its factorization.

10526013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10526013 is about 3244.3817592879. The cubic root of 10526013 is about 219.1566402972.

Adding to 10526013 its reverse (31062501), we get a palindrome (41588514).

The spelling of 10526013 in words is "ten million, five hundred twenty-six thousand, thirteen".