902005801 has 2 divisors, whose sum is σ = 902005802. Its totient is φ = 902005800.

The previous prime is 902005759. The next prime is 902005807. The reversal of 902005801 is 108500209.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 464359401 + 437646400 = 21549^2 + 20920^2 .

It is a cyclic number.

It is not a de Polignac number, because 902005801 - 2¹³ = 901997609 is a prime.

It is a super-2 number, since 2×902005801² = 1627228930075303202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (902005807) 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, 451002900 + 451002901.

It is an arithmetic number, because the mean of its divisors is an integer number (451002901).

Almost surely, 2^902005801 is an apocalyptic number.

It is an amenable number.

902005801 is a deficient number, since it is larger than the sum of its proper divisors (1).

902005801 is an equidigital number, since it uses as much as digits as its factorization.

902005801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 902005801 is about 30033.4114112933. The cubic root of 902005801 is about 966.2061041196.

The spelling of 902005801 in words is "nine hundred two million, five thousand, eight hundred one".