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1355309825 = 52401135193
BaseRepresentation
bin101000011001000…
…0110001100000001
310111110020212120012
41100302012030001
510233424403300
6342252554305
745404641412
oct12062061401
93443225505
101355309825
11636045371
12319a82995
13187a3219c
14cbddb809
157deb8435
hex50c86301

1355309825 has 12 divisors (see below), whose sum is σ = 1684787628. Its totient is φ = 1081536000.

The previous prime is 1355309821. The next prime is 1355309831. The reversal of 1355309825 is 5289035531.

It can be written as a sum of positive squares in 6 ways, for example, as 160985344 + 1194324481 = 12688^2 + 34559^2 .

It is not a de Polignac number, because 1355309825 - 22 = 1355309821 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1355309821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57572 + ... + 77621.

It is an arithmetic number, because the mean of its divisors is an integer number (140398969).

Almost surely, 21355309825 is an apocalyptic number.

It is an amenable number.

1355309825 is a deficient number, since it is larger than the sum of its proper divisors (329477803).

1355309825 is a wasteful number, since it uses less digits than its factorization.

1355309825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135604 (or 135599 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

The square root of 1355309825 is about 36814.5327961662. The cubic root of 1355309825 is about 1106.6565586225.

The spelling of 1355309825 in words is "one billion, three hundred fifty-five million, three hundred nine thousand, eight hundred twenty-five".

Divisors: 1 5 25 401 2005 10025 135193 675965 3379825 54212393 271061965 1355309825