1505983249 has 9 divisors (see below), whose sum is σ = 1521944571. Its totient is φ = 1490188800.

The previous prime is 1505983229. The next prime is 1505983273. The reversal of 1505983249 is 9423895051.

The square root of 1505983249 is 38807.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1482635025 + 23348224 = 38505^2 + 4832^2 .

It is not a de Polignac number, because 1505983249 - 2⁵ = 1505983217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1505983199 and 1505983208.

It is not an unprimeable number, because it can be changed into a prime (1505983229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5859729 + ... + 5859985.

Almost surely, 2^1505983249 is an apocalyptic number.

1505983249 is the 38807-th square number.

1505983249 is the 19404-th centered octagonal number.

It is an amenable number.

1505983249 is a deficient number, since it is larger than the sum of its proper divisors (15961322).

1505983249 is an frugal number, since it uses more digits than its factorization.

1505983249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The cubic root of 1505983249 is about 1146.2342478472.

The spelling of 1505983249 in words is "one billion, five hundred five million, nine hundred eighty-three thousand, two hundred forty-nine".