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1052523776052 = 2236761887953
BaseRepresentation
bin11110101000011110100…
…11100100100000110100
310201121202012011201000000
433110033103210200310
5114221032041313202
62123304525151300
7136020343324320
oct17241723444064
93647665151000
101052523776052
11376411261281
1214bba00bb530
1378338b70a78
1438d2a016980
151c5a298191c
hexf50f4e4834

1052523776052 has 336 divisors, whose sum is σ = 3214853736192. Its totient is φ = 295147722240.

The previous prime is 1052523775997. The next prime is 1052523776053. The reversal of 1052523776052 is 2506773252501.

1052523776052 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 5 + 2 + 37 + 7 + 605 + 2 = 666.

It is a super-2 number, since 2×10525237760522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052523775989 and 1052523776007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052523776053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1104431608 + ... + 1104432560.

It is an arithmetic number, because the mean of its divisors is an integer number (9568017072).

Almost surely, 21052523776052 is an apocalyptic number.

1052523776052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052523776052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607426868096).

1052523776052 is an abundant number, since it is smaller than the sum of its proper divisors (2162329960140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1052523776052 is an equidigital number, since it uses as much as digits as its factorization.

1052523776052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 1052523776052 in words is "one trillion, fifty-two billion, five hundred twenty-three million, seven hundred seventy-six thousand, fifty-two".