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1052225413553 = 73373376910253
BaseRepresentation
bin11110100111111011000…
…01011010000110110001
310201120222101202022121002
433103331201122012301
5114214424201213203
62123215150211345
7136010061304646
oct17237541320661
93646871668532
101052225413553
113762788a60a6
1214bb181b3b55
13782bc0c7402
1438cdc54bdcd
151c586697d88
hexf4fd85a1b1

1052225413553 has 16 divisors (see below), whose sum is σ = 1069887184080. Its totient is φ = 1034653492224.

The previous prime is 1052225413541. The next prime is 1052225413559. The reversal of 1052225413553 is 3553145222501.

It can be written as a sum of positive squares in 8 ways, for example, as 335182864 + 1051890230689 = 18308^2 + 1025617^2 .

It is a cyclic number.

It is not a de Polignac number, because 1052225413553 - 26 = 1052225413489 is a prime.

It is a super-3 number, since 3×10522254135533 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1052225413559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102620975 + ... + 102631227.

It is an arithmetic number, because the mean of its divisors is an integer number (66867949005).

Almost surely, 21052225413553 is an apocalyptic number.

It is an amenable number.

1052225413553 is a deficient number, since it is larger than the sum of its proper divisors (17661770527).

1052225413553 is a wasteful number, since it uses less digits than its factorization.

1052225413553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14468.

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 1052225413553 in words is "one trillion, fifty-two billion, two hundred twenty-five million, four hundred thirteen thousand, five hundred fifty-three".

Divisors: 1 73 373 3769 10253 27229 275137 748469 1405837 3824369 38643557 102626101 279178937 2820979661 14414046761 1052225413553