30258950401 has 9 divisors (see below), whose sum is σ = 30447811011. Its totient is φ = 30071257272.

The previous prime is 30258950399. The next prime is 30258950417. The reversal of 30258950401 is 10405985203.

The square root of 30258950401 is 173951.

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., 29647674225 + 611276176 = 172185^2 + 24724^2 .

It is not a de Polignac number, because 30258950401 - 2¹ = 30258950399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30258950461) 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, 34267906 + ... + 34268788.

Almost surely, 2^30258950401 is an apocalyptic number.

30258950401 is the 173951-st square number.

30258950401 is the 86976-th centered octagonal number.

It is an amenable number.

30258950401 is a deficient number, since it is larger than the sum of its proper divisors (188860610).

30258950401 is an frugal number, since it uses more digits than its factorization.

30258950401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 30258950401 in words is "thirty billion, two hundred fifty-eight million, nine hundred fifty thousand, four hundred one".