1506138481 has 5 divisors (see below), whose sum is σ = 1513822861. Its totient is φ = 1498493108.

The previous prime is 1506138449. The next prime is 1506138521. The reversal of 1506138481 is 1848316051.

The square root of 1506138481 is 38809.

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

1506138481 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 1386892081 + 119246400 = 37241^2 + 10920^2 .

It is not a de Polignac number, because 1506138481 - 2⁵ = 1506138449 is a prime.

It is a super-2 number, since 2×1506138481² = 4536906247897974722, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1506138481.

It is not an unprimeable number, because it can be changed into a prime (1506138421) 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 4 ways as a sum of consecutive naturals, for example, 7645275 + ... + 7645471.

Almost surely, 2^1506138481 is an apocalyptic number.

1506138481 is the 38809-th square number.

1506138481 is the 19405-th centered octagonal number.

It is an amenable number.

1506138481 is a deficient number, since it is larger than the sum of its proper divisors (7684380).

1506138481 is an frugal number, since it uses more digits than its factorization.

1506138481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The cubic root of 1506138481 is about 1146.2736298969.

The spelling of 1506138481 in words is "one billion, five hundred six million, one hundred thirty-eight thousand, four hundred eighty-one".