632815477009 has 27 divisors (see below), whose sum is σ = 655140689307. Its totient is φ = 611247166848.

The previous prime is 632815476971. The next prime is 632815477027. The reversal of 632815477009 is 900774518236.

The square root of 632815477009 is 795497.

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

632815477009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 284158294225 + 348657182784 = 533065^2 + 590472^2 .

It is not a de Polignac number, because 632815477009 - 2¹¹ = 632815474961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (632815477109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4552629262 + ... + 4552629400.

It is a 1-persistent number, because it is pandigital, but 2⋅632815477009 = 1265630954018 is not.

Almost surely, 2^632815477009 is an apocalyptic number.

632815477009 is the 795497-th square number.

632815477009 is the 397749-th centered octagonal number.

It is an amenable number.

632815477009 is a deficient number, since it is larger than the sum of its proper divisors (22325212298).

632815477009 is an frugal number, since it uses more digits than its factorization.

632815477009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 632815477009 in words is "six hundred thirty-two billion, eight hundred fifteen million, four hundred seventy-seven thousand, nine".