87429619225 has 27 divisors (see below), whose sum is σ = 117419476023. Its totient is φ = 64549218240.

The previous prime is 87429619219. The next prime is 87429619229. The reversal of 87429619225 is 52291692478.

It is a happy number.

The square root of 87429619225 is 295685.

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

It can be written as a sum of positive squares in 13 ways, for example, as 67482011529 + 19947607696 = 259773^2 + 141236^2 .

It is not a de Polignac number, because 87429619225 - 2⁷ = 87429619097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87429619229) 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, 19217251 + ... + 19221799.

Almost surely, 2^87429619225 is an apocalyptic number.

87429619225 is the 295685-th square number.

87429619225 is the 147843-rd centered octagonal number.

It is an amenable number.

87429619225 is a deficient number, since it is larger than the sum of its proper divisors (29989856798).

87429619225 is an frugal number, since it uses more digits than its factorization.

87429619225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134 (or 4567 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The spelling of 87429619225 in words is "eighty-seven billion, four hundred twenty-nine million, six hundred nineteen thousand, two hundred twenty-five".