151585201 has 2 divisors, whose sum is σ = 151585202. Its totient is φ = 151585200.

The previous prime is 151585171. The next prime is 151585229. The reversal of 151585201 is 102585151.

It is an a-pointer prime, because the next prime (151585229) can be obtained adding 151585201 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130873600 + 20711601 = 11440^2 + 4551^2 .

It is a cyclic number.

It is not a de Polignac number, because 151585201 - 2¹¹ = 151583153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 151585201.

It is not a weakly prime, because it can be changed into another prime (151585261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 75792600 + 75792601.

It is an arithmetic number, because the mean of its divisors is an integer number (75792601).

Almost surely, 2^151585201 is an apocalyptic number.

It is an amenable number.

151585201 is a deficient number, since it is larger than the sum of its proper divisors (1).

151585201 is an equidigital number, since it uses as much as digits as its factorization.

151585201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2000, while the sum is 28.

The square root of 151585201 is about 12311.9941926562. The cubic root of 151585201 is about 533.1944268024.

Subtracting from 151585201 its reverse (102585151), we obtain a triangular number (49000050 = T₉₈₉₉).

The spelling of 151585201 in words is "one hundred fifty-one million, five hundred eighty-five thousand, two hundred one".