725329261 has 2 divisors, whose sum is σ = 725329262. Its totient is φ = 725329260.

The previous prime is 725329243. The next prime is 725329271. The reversal of 725329261 is 162923527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 716365225 + 8964036 = 26765^2 + 2994^2 .

It is a cyclic number.

It is not a de Polignac number, because 725329261 - 2¹⁵ = 725296493 is a prime.

It is a super-2 number, since 2×725329261² = 1052205073725612242, which contains 22 as substring.

It is equal to p_37495540 and since 725329261 and 37495540 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 725329261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725329211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362664630 + 362664631.

It is an arithmetic number, because the mean of its divisors is an integer number (362664631).

Almost surely, 2^725329261 is an apocalyptic number.

It is an amenable number.

725329261 is a deficient number, since it is larger than the sum of its proper divisors (1).

725329261 is an equidigital number, since it uses as much as digits as its factorization.

725329261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45360, while the sum is 37.

The square root of 725329261 is about 26931.9375649061. The cubic root of 725329261 is about 898.4868652705.

The spelling of 725329261 in words is "seven hundred twenty-five million, three hundred twenty-nine thousand, two hundred sixty-one".