725221606122553 has 2 divisors, whose sum is σ = 725221606122554. Its totient is φ = 725221606122552.

The previous prime is 725221606122493. The next prime is 725221606122571. The reversal of 725221606122553 is 355221606122527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 487552763876409 + 237668842246144 = 22080597^2 + 15416512^2 .

It is a cyclic number.

It is not a de Polignac number, because 725221606122553 - 2¹³ = 725221606114361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 725221606122497 and 725221606122506.

It is not a weakly prime, because it can be changed into another prime (725221606122053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362610803061276 + 362610803061277.

It is an arithmetic number, because the mean of its divisors is an integer number (362610803061277).

Almost surely, 2^{725221606122553} is an apocalyptic number.

It is an amenable number.

725221606122553 is a deficient number, since it is larger than the sum of its proper divisors (1).

725221606122553 is an equidigital number, since it uses as much as digits as its factorization.

725221606122553 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024000, while the sum is 49.

The spelling of 725221606122553 in words is "seven hundred twenty-five trillion, two hundred twenty-one billion, six hundred six million, one hundred twenty-two thousand, five hundred fifty-three".