829625476993 has 16 divisors (see below), whose sum is σ = 865292775760. Its totient is φ = 794741538816.

The previous prime is 829625476973. The next prime is 829625477003. The reversal of 829625476993 is 399674526928.

It can be written as a sum of positive squares in 8 ways, for example, as 70440875649 + 759184601344 = 265407^2 + 871312^2 .

It is a cyclic number.

It is not a de Polignac number, because 829625476993 - 2⁵ = 829625476961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829625476903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93823 + ... + 1291531.

It is an arithmetic number, because the mean of its divisors is an integer number (54080798485).

Almost surely, 2^829625476993 is an apocalyptic number.

It is an amenable number.

829625476993 is a deficient number, since it is larger than the sum of its proper divisors (35667298767).

829625476993 is a wasteful number, since it uses less digits than its factorization.

829625476993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198036.

The product of its digits is 352719360, while the sum is 70.

The spelling of 829625476993 in words is "eight hundred twenty-nine billion, six hundred twenty-five million, four hundred seventy-six thousand, nine hundred ninety-three".