1526 has 8 divisors (see below), whose sum is σ = 2640. Its totient is φ = 648.

The previous prime is 1523. The next prime is 1531. The reversal of 1526 is 6251.

1526 = 18² + 19² + ... + 21².

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

It is a Harshad number since it is a multiple of its sum of digits (14), and also a Moran number because the ratio is a prime number: 109 = 1526 / (1 + 5 + 2 + 6).

It is a plaindrome in base 11 and base 15.

It is a nialpdrome in base 7 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1526.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1526.

It is not an unprimeable number, because it can be changed into a prime (1523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 68.

It is an arithmetic number, because the mean of its divisors is an integer number (330).

1526 is a deficient number, since it is larger than the sum of its proper divisors (1114).

1526 is a wasteful number, since it uses less digits than its factorization.

1526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118.

The product of its digits is 60, while the sum is 14.

The square root of 1526 is about 39.0640499692. The cubic root of 1526 is about 11.5129029718.

Adding to 1526 its sum of digits (14), we get a triangular number (1540 = T₅₅).

Adding to 1526 its reverse (6251), we get a palindrome (7777).

The spelling of 1526 in words is "one thousand, five hundred twenty-six".