820612953 has 24 divisors (see below), whose sum is σ = 1195983360. Its totient is φ = 542183040.

The previous prime is 820612927. The next prime is 820612957. The reversal of 820612953 is 359216028.

It is not a de Polignac number, because 820612953 - 2⁸ = 820612697 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (820612957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517600 + ... + 519182.

It is an arithmetic number, because the mean of its divisors is an integer number (49832640).

Almost surely, 2^820612953 is an apocalyptic number.

It is an amenable number.

820612953 is a deficient number, since it is larger than the sum of its proper divisors (375370407).

820612953 is a wasteful number, since it uses less digits than its factorization.

820612953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 820612953 is about 28646.3427508644. The cubic root of 820612953 is about 936.2233229179.

The spelling of 820612953 in words is "eight hundred twenty million, six hundred twelve thousand, nine hundred fifty-three".