72570506353853 has 2 divisors, whose sum is σ = 72570506353854. Its totient is φ = 72570506353852.

The previous prime is 72570506353721. The next prime is 72570506353883. The reversal of 72570506353853 is 35835360507527.

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., 66913087121764 + 5657419232089 = 8180042^2 + 2378533^2 .

It is a cyclic number.

It is not a de Polignac number, because 72570506353853 - 2²⁸ = 72570237918397 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72570506353792 and 72570506353801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72570506353883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36285253176926 + 36285253176927.

It is an arithmetic number, because the mean of its divisors is an integer number (36285253176927).

Almost surely, 2^{72570506353853} is an apocalyptic number.

It is an amenable number.

72570506353853 is a deficient number, since it is larger than the sum of its proper divisors (1).

72570506353853 is an equidigital number, since it uses as much as digits as its factorization.

72570506353853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380000, while the sum is 59.

The spelling of 72570506353853 in words is "seventy-two trillion, five hundred seventy billion, five hundred six million, three hundred fifty-three thousand, eight hundred fifty-three".