84572520401 has 2 divisors, whose sum is σ = 84572520402. Its totient is φ = 84572520400.

The previous prime is 84572520371. The next prime is 84572520427. The reversal of 84572520401 is 10402527548.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73103181376 + 11469339025 = 270376^2 + 107095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-84572520401 is a prime.

It is a super-2 number, since 2×84572520401² (a number of 23 digits) contains 22 as substring.

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 (84572520101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42286260200 + 42286260201.

It is an arithmetic number, because the mean of its divisors is an integer number (42286260201).

Almost surely, 2^84572520401 is an apocalyptic number.

It is an amenable number.

84572520401 is a deficient number, since it is larger than the sum of its proper divisors (1).

84572520401 is an equidigital number, since it uses as much as digits as its factorization.

84572520401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 89600, while the sum is 38.

The spelling of 84572520401 in words is "eighty-four billion, five hundred seventy-two million, five hundred twenty thousand, four hundred one".