30251661022801 has 9 divisors (see below), whose sum is σ = 31624269380571. Its totient is φ = 28936250409792.

The previous prime is 30251661022729. The next prime is 30251661022811. The reversal of 30251661022801 is 10822016615203.

The square root of 30251661022801 is 5500151.

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., 30243565342225 + 8095680576 = 5499415^2 + 89976^2 .

It is not a de Polignac number, because 30251661022801 - 2²⁵ = 30251627468369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30251661022811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 126383905 + ... + 126623041.

Almost surely, 2^{30251661022801} is an apocalyptic number.

30251661022801 is the 5500151-st square number.

30251661022801 is the 2750076-th centered octagonal number.

It is an amenable number.

30251661022801 is a deficient number, since it is larger than the sum of its proper divisors (1372608357770).

30251661022801 is an frugal number, since it uses more digits than its factorization.

30251661022801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478320 (or 239160 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 30251661022801 in words is "thirty trillion, two hundred fifty-one billion, six hundred sixty-one million, twenty-two thousand, eight hundred one".