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2551021121313 = 327212134768861
BaseRepresentation
bin100101000111110100101…
…101010010111100100001
3100000212122001022001221100
4211013310231102330201
5313243442401340223
65231531203545013
7352206452520300
oct45076455227441
910025561261840
102551021121313
118a3977a10945
123524a398b169
13156738b75952
148b681c8c437
1546557e5a043
hex251f4b52f21

2551021121313 has 36 divisors (see below), whose sum is σ = 4289944264788. Its totient is φ = 1456524296640.

The previous prime is 2551021121293. The next prime is 2551021121351. The reversal of 2551021121313 is 3131211201552.

2551021121313 is a `hidden beast` number, since 2 + 5 + 510 + 2 + 1 + 12 + 131 + 3 = 666.

2551021121313 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 2 ways, for example, as 1406138241249 + 1144882880064 = 1185807^2 + 1069992^2 .

It is not a de Polignac number, because 2551021121313 - 29 = 2551021120801 is a prime.

It is a super-2 number, since 2×25510211213132 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2551021121353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1849498 + ... + 2919363.

Almost surely, 22551021121313 is an apocalyptic number.

It is an amenable number.

2551021121313 is a deficient number, since it is larger than the sum of its proper divisors (1738923143475).

2551021121313 is a wasteful number, since it uses less digits than its factorization.

2551021121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770094 (or 4770084 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 2551021121313 its reverse (3131211201552), we get a palindrome (5682232322865).

The spelling of 2551021121313 in words is "two trillion, five hundred fifty-one billion, twenty-one million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 441 1213 3639 8491 10917 25473 59437 76419 178311 534933 4768861 14306583 33382027 42919749 100146081 233674189 300438243 701022567 2103067701 5784628393 17353885179 40492398751 52061655537 121477196253 283446791257 364431588759 850340373771 2551021121313