480508001623157 has 2 divisors, whose sum is σ = 480508001623158. Its totient is φ = 480508001623156.

The previous prime is 480508001623061. The next prime is 480508001623217. The reversal of 480508001623157 is 751326100805084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 467936112412561 + 12571889210596 = 21631831^2 + 3545686^2 .

It is a cyclic number.

It is not a de Polignac number, because 480508001623157 - 2¹⁸ = 480508001361013 is a prime.

It is a super-3 number, since 3×480508001623157³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480508001626157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240254000811578 + 240254000811579.

It is an arithmetic number, because the mean of its divisors is an integer number (240254000811579).

Almost surely, 2^{480508001623157} is an apocalyptic number.

It is an amenable number.

480508001623157 is a deficient number, since it is larger than the sum of its proper divisors (1).

480508001623157 is an equidigital number, since it uses as much as digits as its factorization.

480508001623157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 480508001623157 in words is "four hundred eighty trillion, five hundred eight billion, one million, six hundred twenty-three thousand, one hundred fifty-seven".