726152561 has 2 divisors, whose sum is σ = 726152562. Its totient is φ = 726152560.

The previous prime is 726152549. The next prime is 726152563. The reversal of 726152561 is 165251627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 719902561 + 6250000 = 26831^2 + 2500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-726152561 is a prime.

Together with 726152563, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (726152563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363076280 + 363076281.

It is an arithmetic number, because the mean of its divisors is an integer number (363076281).

Almost surely, 2^726152561 is an apocalyptic number.

It is an amenable number.

726152561 is a deficient number, since it is larger than the sum of its proper divisors (1).

726152561 is an equidigital number, since it uses as much as digits as its factorization.

726152561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25200, while the sum is 35.

The square root of 726152561 is about 26947.2180567865. The cubic root of 726152561 is about 898.8266854379.

It can be divided in two parts, 726 and 152561, that multiplied together give a triangular number (110759286 = T₁₄₈₈₃).

The spelling of 726152561 in words is "seven hundred twenty-six million, one hundred fifty-two thousand, five hundred sixty-one".