901167521 has 2 divisors, whose sum is σ = 901167522. Its totient is φ = 901167520.

The previous prime is 901167503. The next prime is 901167529. The reversal of 901167521 is 125761109.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 713477521 + 187690000 = 26711^2 + 13700^2 .

It is an emirp because it is prime and its reverse (125761109) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 901167521 - 2¹⁴ = 901151137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (901167529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450583760 + 450583761.

It is an arithmetic number, because the mean of its divisors is an integer number (450583761).

Almost surely, 2^901167521 is an apocalyptic number.

It is an amenable number.

901167521 is a deficient number, since it is larger than the sum of its proper divisors (1).

901167521 is an equidigital number, since it uses as much as digits as its factorization.

901167521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 32.

The square root of 901167521 is about 30019.4523767506. The cubic root of 901167521 is about 965.9066964767.

It can be divided in two parts, 90 and 1167521, that added together give a palindrome (1167611).

The spelling of 901167521 in words is "nine hundred one million, one hundred sixty-seven thousand, five hundred twenty-one".