87761100025 has 27 divisors (see below), whose sum is σ = 109766732943. Its totient is φ = 69605725200.

The previous prime is 87761100019. The next prime is 87761100029. The reversal of 87761100025 is 52000116778.

The square root of 87761100025 is 296245.

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

It can be written as a sum of positive squares in only one way, i.e., 31593996009 + 56167104016 = 177747^2 + 236996^2 .

It is not a de Polignac number, because 87761100025 - 2³³ = 79171165433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87761100029) 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, 265139110 + ... + 265139440.

Almost surely, 2^87761100025 is an apocalyptic number.

87761100025 is the 296245-th square number.

87761100025 is the 148123-rd centered octagonal number.

It is an amenable number.

87761100025 is a deficient number, since it is larger than the sum of its proper divisors (22005632918).

87761100025 is an frugal number, since it uses more digits than its factorization.

87761100025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 87761100025 in words is "eighty-seven billion, seven hundred sixty-one million, one hundred thousand, twenty-five".