30915279142801 has 9 divisors (see below), whose sum is σ = 31224968828859. Its totient is φ = 30608631255000.

The previous prime is 30915279142789. The next prime is 30915279142841. The reversal of 30915279142801 is 10824197251903.

The square root of 30915279142801 is 5560151.

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., 29703034102401 + 1212245040400 = 5450049^2 + 1101020^2 .

It is not a de Polignac number, because 30915279142801 - 2²⁵ = 30915245588369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30915279142841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 561547726 + ... + 561602776.

Almost surely, 2^{30915279142801} is an apocalyptic number.

30915279142801 is the 5560151-st square number.

30915279142801 is the 2780076-th centered octagonal number.

It is an amenable number.

30915279142801 is a deficient number, since it is larger than the sum of its proper divisors (309689686058).

30915279142801 is an frugal number, since it uses more digits than its factorization.

30915279142801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110304 (or 55152 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 30915279142801 in words is "thirty trillion, nine hundred fifteen billion, two hundred seventy-nine million, one hundred forty-two thousand, eight hundred one".