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11251905625 = 5442432
BaseRepresentation
bin10100111101010101…
…00111010001011001
31002001011110000210101
422132222213101121
5141020441440000
65100303215401
7545555422402
oct123652472131
932034400711
1011251905625
114854453264
1222202a7561
1310a418652c
1478a5249a9
1545cc4ce6a
hex29eaa7459

11251905625 has 15 divisors (see below), whose sum is σ = 14063695833. Its totient is φ = 8999403000.

The previous prime is 11251905571. The next prime is 11251905629. The reversal of 11251905625 is 52650915211.

It is a happy number.

The square root of 11251905625 is 106075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 882149401 + 10369756224 = 29701^2 + 101832^2 .

It is not a de Polignac number, because 11251905625 - 29 = 11251905113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11251905629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2649754 + ... + 2653996.

Almost surely, 211251905625 is an apocalyptic number.

11251905625 is the 106075-th square number.

11251905625 is the 53038-th centered octagonal number.

It is an amenable number.

11251905625 is a deficient number, since it is larger than the sum of its proper divisors (2811790208).

11251905625 is an frugal number, since it uses more digits than its factorization.

11251905625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 11251905625 in words is "eleven billion, two hundred fifty-one million, nine hundred five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 4243 21215 106075 530375 2651875 18003049 90015245 450076225 2250381125 11251905625