480958138201 has 2 divisors, whose sum is σ = 480958138202. Its totient is φ = 480958138200.

The previous prime is 480958138189. The next prime is 480958138207. The reversal of 480958138201 is 102831859084.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 480186632025 + 771506176 = 692955^2 + 27776^2 .

It is a cyclic number.

It is not a de Polignac number, because 480958138201 - 2²³ = 480949749593 is a prime.

It is a super-3 number, since 3×480958138201³ (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (480958138207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240479069100 + 240479069101.

It is an arithmetic number, because the mean of its divisors is an integer number (240479069101).

Almost surely, 2^480958138201 is an apocalyptic number.

It is an amenable number.

480958138201 is a deficient number, since it is larger than the sum of its proper divisors (1).

480958138201 is an equidigital number, since it uses as much as digits as its factorization.

480958138201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 480958138201 in words is "four hundred eighty billion, nine hundred fifty-eight million, one hundred thirty-eight thousand, two hundred one".