901958401 has 2 divisors, whose sum is σ = 901958402. Its totient is φ = 901958400.

The previous prime is 901958389. The next prime is 901958417. The reversal of 901958401 is 104859109.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 771450625 + 130507776 = 27775^2 + 11424^2 .

It is a cyclic number.

It is not a de Polignac number, because 901958401 - 2¹⁹ = 901434113 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (901958461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450979200 + 450979201.

It is an arithmetic number, because the mean of its divisors is an integer number (450979201).

Almost surely, 2^901958401 is an apocalyptic number.

It is an amenable number.

901958401 is a deficient number, since it is larger than the sum of its proper divisors (1).

901958401 is an equidigital number, since it uses as much as digits as its factorization.

901958401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 901958401 is about 30032.6222797810. The cubic root of 901958401 is about 966.1891792574.

It can be divided in two parts, 90195 and 8401, that added together give a square (98596 = 314²).

The spelling of 901958401 in words is "nine hundred one million, nine hundred fifty-eight thousand, four hundred one".