902832530625 has 225 divisors, whose sum is σ = 1744346613999. Its totient is φ = 465205680000.

The previous prime is 902832530617. The next prime is 902832530671. The reversal of 902832530625 is 526035238209.

The square root of 902832530625 is 950175.

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

902832530625 is a `hidden beast` number, since 9 + 0 + 28 + 32 + 530 + 62 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 899312719041 + 3519811584 = 948321^2 + 59328^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 902832530625 - 2³ = 902832530617 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 8765364324 + ... + 8765364426.

Almost surely, 2^902832530625 is an apocalyptic number.

902832530625 is the 950175-th square number.

902832530625 is the 475088-th centered octagonal number.

It is an amenable number.

902832530625 is a deficient number, since it is larger than the sum of its proper divisors (841514083374).

902832530625 is an frugal number, since it uses more digits than its factorization.

902832530625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 902832530625 in words is "nine hundred two billion, eight hundred thirty-two million, five hundred thirty thousand, six hundred twenty-five".