829506552 has 64 divisors (see below), whose sum is σ = 2434091520. Its totient is φ = 230594688.

The previous prime is 829506527. The next prime is 829506563. The reversal of 829506552 is 255605928.

829506552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×829506552² = 1376162239621857408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60508 + ... + 72939.

It is an arithmetic number, because the mean of its divisors is an integer number (38032680).

Almost surely, 2^829506552 is an apocalyptic number.

It is an amenable number.

829506552 is an abundant number, since it is smaller than the sum of its proper divisors (1604584968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829506552 is a wasteful number, since it uses less digits than its factorization.

829506552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133500 (or 133496 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 829506552 is about 28801.1553934907. The cubic root of 829506552 is about 939.5933626713.

The spelling of 829506552 in words is "eight hundred twenty-nine million, five hundred six thousand, five hundred fifty-two".