729521953 has 2 divisors, whose sum is σ = 729521954. Its totient is φ = 729521952.

The previous prime is 729521939. The next prime is 729521957. The reversal of 729521953 is 359125927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 571592464 + 157929489 = 23908^2 + 12567^2 .

It is a cyclic number.

It is not a de Polignac number, because 729521953 - 2¹³ = 729513761 is a prime.

It is not a weakly prime, because it can be changed into another prime (729521957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364760976 + 364760977.

It is an arithmetic number, because the mean of its divisors is an integer number (364760977).

Almost surely, 2^729521953 is an apocalyptic number.

It is an amenable number.

729521953 is a deficient number, since it is larger than the sum of its proper divisors (1).

729521953 is an equidigital number, since it uses as much as digits as its factorization.

729521953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 170100, while the sum is 43.

The square root of 729521953 is about 27009.6640667743. The cubic root of 729521953 is about 900.2147442302.

The spelling of 729521953 in words is "seven hundred twenty-nine million, five hundred twenty-one thousand, nine hundred fifty-three".