Search a number
-
+
10576251973225 = 52372175792
BaseRepresentation
bin1001100111100111100110…
…1111011110111001101001
31101110002011011222112220101
42121321321233132321221
52341240131001120400
634254355120425401
72141052245322541
oct231717157367151
941402134875811
1010576251973225
1134083aa575604
1212298b9478261
135b944aa70283
14287c71408321
151351a4e9356a
hex99e79bdee69

10576251973225 has 27 divisors (see below), whose sum is σ = 13479346255557. Its totient is φ = 8231857555680.

The previous prime is 10576251973201. The next prime is 10576251973237. The reversal of 10576251973225 is 52237915267501.

It is a happy number.

The square root of 10576251973225 is 3252115.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1004010012009 + 9572241961216 = 1002003^2 + 3093904^2 .

It is not a de Polignac number, because 10576251973225 - 211 = 10576251971177 is a prime.

It is a super-2 number, since 2×105762519732252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 601632486 + ... + 601650064.

Almost surely, 210576251973225 is an apocalyptic number.

10576251973225 is the 3252115-th square number.

10576251973225 is the 1626058-th centered octagonal number.

It is an amenable number.

10576251973225 is a deficient number, since it is larger than the sum of its proper divisors (2903094282332).

10576251973225 is an frugal number, since it uses more digits than its factorization.

10576251973225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35242 (or 17621 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 55.

The spelling of 10576251973225 in words is "ten trillion, five hundred seventy-six billion, two hundred fifty-one million, nine hundred seventy-three thousand, two hundred twenty-five".

Divisors: 1 5 25 37 185 925 1369 6845 17579 34225 87895 439475 650423 3252115 16260575 24065651 120328255 309021241 601641275 1545106205 7725531025 11433785917 57168929585 285844647925 423050078929 2115250394645 10576251973225