10088405250625 has 135 divisors (see below), whose sum is σ = 14179819170231. Its totient is φ = 7171661952000.

The previous prime is 10088405250569. The next prime is 10088405250641. The reversal of 10088405250625 is 52605250488001.

The square root of 10088405250625 is 3176225.

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

10088405250625 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 67 ways, for example, as 108719894529 + 9979685356096 = 329727^2 + 3159064^2 .

It is not a de Polignac number, because 10088405250625 - 2¹⁵ = 10088405217857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 29935920457 + ... + 29935920793.

Almost surely, 2^{10088405250625} is an apocalyptic number.

10088405250625 is the 3176225-th square number.

10088405250625 is the 1588113-rd centered octagonal number.

It is an amenable number.

10088405250625 is a deficient number, since it is larger than the sum of its proper divisors (4091413919606).

10088405250625 is an frugal number, since it uses more digits than its factorization.

10088405250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 46.

The spelling of 10088405250625 in words is "ten trillion, eighty-eight billion, four hundred five million, two hundred fifty thousand, six hundred twenty-five".