8130156903649 has 9 divisors (see below), whose sum is σ = 8936487931539. Its totient is φ = 7391023217160.

The previous prime is 8130156903607. The next prime is 8130156903697. The reversal of 8130156903649 is 9463096510318.

The square root of 8130156903649 is 2851343.

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., 4640986947025 + 3489169956624 = 2154295^2 + 1867932^2 .

It is not a de Polignac number, because 8130156903649 - 2⁹ = 8130156903137 is a prime.

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 8130156903649.

It is not an unprimeable number, because it can be changed into a prime (8130156903749) 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, 31235167 + ... + 31494379.

Almost surely, 2^{8130156903649} is an apocalyptic number.

8130156903649 is the 2851343-rd square number.

8130156903649 is the 1425672-nd centered octagonal number.

It is an amenable number.

8130156903649 is a deficient number, since it is larger than the sum of its proper divisors (806331027890).

8130156903649 is an frugal number, since it uses more digits than its factorization.

8130156903649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518448 (or 259224 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 8130156903649 in words is "eight trillion, one hundred thirty billion, one hundred fifty-six million, nine hundred three thousand, six hundred forty-nine".