529737964561 has 9 divisors (see below), whose sum is σ = 573631828731. Its totient is φ = 488980156392.

The previous prime is 529737964543. The next prime is 529737964573. The reversal of 529737964561 is 165469737925.

The square root of 529737964561 is 727831.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78363604225 + 451374360336 = 279935^2 + 671844^2 .

It is not a de Polignac number, because 529737964561 - 2⁷ = 529737964433 is a prime.

It is a super-2 number, since 2×529737964561² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 529737964493 and 529737964502.

It is not an unprimeable number, because it can be changed into a prime (529737964541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9433810 + ... + 9489796.

It is an arithmetic number, because the mean of its divisors is an integer number (63736869859).

Almost surely, 2^529737964561 is an apocalyptic number.

529737964561 is the 727831-st square number.

529737964561 is the 363916-th centered octagonal number.

It is an amenable number.

529737964561 is a deficient number, since it is larger than the sum of its proper divisors (43893864170).

529737964561 is an frugal number, since it uses more digits than its factorization.

529737964561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112000 (or 56000 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 64.

Multiplying 529737964561 by its sum of digits (64), we get a square (33903229731904 = 5822648²).

The spelling of 529737964561 in words is "five hundred twenty-nine billion, seven hundred thirty-seven million, nine hundred sixty-four thousand, five hundred sixty-one".