1515 has 8 divisors (see below), whose sum is σ = 2448. Its totient is φ = 800.

The previous prime is 1511. The next prime is 1523. The reversal of 1515 is 5151.

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

It is not a de Polignac number, because 1515 - 2² = 1511 is a prime.

It is a nude number because it is divisible by every one of its digits.

1515 is an undulating number in base 10.

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1515.

It is not an unprimeable number, because it can be changed into a prime (1511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 65.

It is an arithmetic number, because the mean of its divisors is an integer number (306).

2¹⁵¹⁵ is an apocalyptic number.

1515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1515 is a deficient number, since it is larger than the sum of its proper divisors (933).

1515 is a wasteful number, since it uses less digits than its factorization.

1515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109.

The product of its digits is 25, while the sum is 12.

The square root of 1515 is about 38.9230009121. The cubic root of 1515 is about 11.4851730784.

Adding to 1515 its product of digits (25), we get a triangular number (1540 = T₅₅).

Adding to 1515 its reverse (5151), we get a palindrome (6666).

The spelling of 1515 in words is "one thousand, five hundred fifteen".