151009182801 has 9 divisors (see below), whose sum is σ = 218126059099. Its totient is φ = 100672011336.

The previous prime is 151009182781. The next prime is 151009182811. The reversal of 151009182801 is 108281900151.

The square root of 151009182801 is 388599.

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., 144692748225 + 6316434576 = 380385^2 + 79476^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 151009182801 - 2¹⁹ = 151008658513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151009182811) 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, 1101031 + ... + 1230563.

Almost surely, 2^151009182801 is an apocalyptic number.

151009182801 is the 388599-th square number.

151009182801 is the 194300-th centered octagonal number.

It is an amenable number.

151009182801 is a deficient number, since it is larger than the sum of its proper divisors (67116876298).

151009182801 is an frugal number, since it uses more digits than its factorization.

151009182801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259072 (or 129536 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

Multiplying 151009182801 by its sum of digits (36), we get a square (5436330580836 = 2331594²).

The spelling of 151009182801 in words is "one hundred fifty-one billion, nine million, one hundred eighty-two thousand, eight hundred one".