826690100625 has 135 divisors (see below), whose sum is σ = 1552927818871. Its totient is φ = 439919424000.

The previous prime is 826690100623. The next prime is 826690100627. The reversal of 826690100625 is 526001096628.

The square root of 826690100625 is 909225.

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

826690100625 is a `hidden beast` number, since 8 + 2 + 6 + 6 + 9 + 0 + 10 + 0 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (826690100623) and next prime (826690100627).

It can be written as a sum of positive squares in 7 ways, for example, as 552549895569 + 274140205056 = 743337^2 + 523584^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 826690100625 - 2¹ = 826690100623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (826690100623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1841180401 + ... + 1841180849.

Almost surely, 2^826690100625 is an apocalyptic number.

826690100625 is the 909225-th square number.

826690100625 is the 454613-rd centered octagonal number.

It is an amenable number.

826690100625 is a deficient number, since it is larger than the sum of its proper divisors (726237718246).

826690100625 is an frugal number, since it uses more digits than its factorization.

826690100625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 826690100625 in words is "eight hundred twenty-six billion, six hundred ninety million, one hundred thousand, six hundred twenty-five".