725097139201 has 2 divisors, whose sum is σ = 725097139202. Its totient is φ = 725097139200.

The previous prime is 725097139199. The next prime is 725097139237. The reversal of 725097139201 is 102931790527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 695847930625 + 29249208576 = 834175^2 + 171024^2 .

It is a cyclic number.

It is not a de Polignac number, because 725097139201 - 2¹ = 725097139199 is a prime.

It is a super-2 number, since 2×725097139201² (a number of 25 digits) contains 22 as substring.

Together with 725097139199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (725097139301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362548569600 + 362548569601.

It is an arithmetic number, because the mean of its divisors is an integer number (362548569601).

Almost surely, 2^725097139201 is an apocalyptic number.

It is an amenable number.

725097139201 is a deficient number, since it is larger than the sum of its proper divisors (1).

725097139201 is an equidigital number, since it uses as much as digits as its factorization.

725097139201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 238140, while the sum is 46.

The spelling of 725097139201 in words is "seven hundred twenty-five billion, ninety-seven million, one hundred thirty-nine thousand, two hundred one".