72504636825653 has 2 divisors, whose sum is σ = 72504636825654. Its totient is φ = 72504636825652.

The previous prime is 72504636825563. The next prime is 72504636825661. The reversal of 72504636825653 is 35652863640527.

It is a happy number.

Together with previous prime (72504636825563) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72404816846404 + 99819979249 = 8509102^2 + 315943^2 .

It is a cyclic number.

It is not a de Polignac number, because 72504636825653 - 2¹⁸ = 72504636563509 is a prime.

It is a super-2 number, since 2×72504636825653² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72504636825953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36252318412826 + 36252318412827.

It is an arithmetic number, because the mean of its divisors is an integer number (36252318412827).

Almost surely, 2^{72504636825653} is an apocalyptic number.

It is an amenable number.

72504636825653 is a deficient number, since it is larger than the sum of its proper divisors (1).

72504636825653 is an equidigital number, since it uses as much as digits as its factorization.

72504636825653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 217728000, while the sum is 62.

The spelling of 72504636825653 in words is "seventy-two trillion, five hundred four billion, six hundred thirty-six million, eight hundred twenty-five thousand, six hundred fifty-three".