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52576197025 = 521143792
BaseRepresentation
bin110000111101110010…
…010001100110100001
312000201010101112120111
4300331302101212201
51330134001301100
640053030211321
73540613205152
oct607562214641
9160633345514
1052576197025
112032a990000
12a2337b3b41
134c5b6ca571
14278a937929
15157ab226ba
hexc3dc919a1

52576197025 has 45 divisors (see below), whose sum is σ = 71903204355. Its totient is φ = 38136344400.

The previous prime is 52576197017. The next prime is 52576197083. The reversal of 52576197025 is 52079167525.

The square root of 52576197025 is 229295.

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

It can be written as a sum of positive squares in only one way, i.e., 18927430929 + 33648766096 = 137577^2 + 183436^2 .

It is not a de Polignac number, because 52576197025 - 23 = 52576197017 is a prime.

It is a super-2 number, since 2×525761970252 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52576197025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 138723286 + ... + 138723664.

Almost surely, 252576197025 is an apocalyptic number.

52576197025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

52576197025 is the 229295-th square number.

52576197025 is the 114648-th centered octagonal number.

It is an amenable number.

52576197025 is a deficient number, since it is larger than the sum of its proper divisors (19327007330).

52576197025 is an frugal number, since it uses more digits than its factorization.

52576197025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 49.

Multiplying 52576197025 by its sum of digits (49), we get a square (2576233654225 = 16050652).

The spelling of 52576197025 in words is "fifty-two billion, five hundred seventy-six million, one hundred ninety-seven thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 379 605 1331 1895 3025 4169 6655 9475 14641 20845 33275 45859 73205 104225 143641 229295 366025 504449 718205 1146475 1580051 2522245 3591025 5548939 7900255 12611225 17380561 27744695 39501275 86902805 138723475 191186171 434514025 955930855 2103047881 4779654275 10515239405 52576197025