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962135383225 = 521961772
BaseRepresentation
bin11100000000000111011…
…11001101110010111001
310101222102212110121002011
432000003233031302321
5111230423124230400
62013555432205521
7126340416551212
oct16000357156271
93358385417064
10962135383225
11341048382985
121365752398a1
136c962742463
14347d36d6409
151a0624858ba
hexe003bcdcb9

962135383225 has 9 divisors (see below), whose sum is σ = 1193053956717. Its totient is φ = 769704383040.

The previous prime is 962135383213. The next prime is 962135383271. The reversal of 962135383225 is 522383531269.

The square root of 962135383225 is 980885.

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

962135383225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 417733420329 + 544401962896 = 646323^2 + 737836^2 .

It is not a de Polignac number, because 962135383225 - 211 = 962135381177 is a prime.

It is a super-2 number, since 2×9621353832252 (a number of 25 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 8 ways as a sum of consecutive naturals, for example, 4806337 + ... + 5002513.

Almost surely, 2962135383225 is an apocalyptic number.

962135383225 is the 980885-th square number.

962135383225 is the 490443-rd centered octagonal number.

It is an amenable number.

962135383225 is a deficient number, since it is larger than the sum of its proper divisors (230918573492).

962135383225 is an frugal number, since it uses more digits than its factorization.

962135383225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392364 (or 196182 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 49.

Multiplying 962135383225 by its sum of digits (49), we get a square (47144633778025 = 68661952).

The spelling of 962135383225 in words is "nine hundred sixty-two billion, one hundred thirty-five million, three hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 196177 980885 4904425 38485415329 192427076645 962135383225