725193922457 has 2 divisors, whose sum is σ = 725193922458. Its totient is φ = 725193922456.

The previous prime is 725193922451. The next prime is 725193922543. The reversal of 725193922457 is 754229391527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 619847588416 + 105346334041 = 787304^2 + 324571^2 .

It is a cyclic number.

It is not a de Polignac number, because 725193922457 - 2⁶ = 725193922393 is a prime.

It is a super-3 number, since 3×725193922457³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (725193922451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362596961228 + 362596961229.

It is an arithmetic number, because the mean of its divisors is an integer number (362596961229).

Almost surely, 2^725193922457 is an apocalyptic number.

It is an amenable number.

725193922457 is a deficient number, since it is larger than the sum of its proper divisors (1).

725193922457 is an equidigital number, since it uses as much as digits as its factorization.

725193922457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9525600, while the sum is 56.

The spelling of 725193922457 in words is "seven hundred twenty-five billion, one hundred ninety-three million, nine hundred twenty-two thousand, four hundred fifty-seven".