1506493576449 has 33 divisors (see below), whose sum is σ = 2260175079169. Its totient is φ = 1004130213300.

The previous prime is 1506493576421. The next prime is 1506493576463. The reversal of 1506493576449 is 9446753946051.

It is a happy number.

The square root of 1506493576449 is 1227393.

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

1506493576449 is a `hidden beast` number, since 1 + 50 + 6 + 4 + 9 + 3 + 576 + 4 + 4 + 9 = 666.

It is not a de Polignac number, because 1506493576449 - 2²⁵ = 1506460022017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1506493576249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 298253974 + ... + 298259024.

Almost surely, 2^{1506493576449} is an apocalyptic number.

1506493576449 is the 1227393-rd square number.

1506493576449 is the 613697-th centered octagonal number.

It is an amenable number.

1506493576449 is a deficient number, since it is larger than the sum of its proper divisors (753681502720).

1506493576449 is an frugal number, since it uses more digits than its factorization.

1506493576449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 1506493576449 in words is "one trillion, five hundred six billion, four hundred ninety-three million, five hundred seventy-six thousand, four hundred forty-nine".