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2513321052 = 22311374710949
BaseRepresentation
bin1001010111001110…
…0011110001011100
320111011020221022220
42111303203301130
520121402233202
61053221105340
7116165606424
oct22563436134
96434227286
102513321052
11107a782340
125a1858250
13310914828
1419bb1b484
15ea9acabc
hex95ce3c5c

2513321052 has 96 divisors (see below), whose sum is σ = 6710860800. Its totient is φ = 725195520.

The previous prime is 2513321051. The next prime is 2513321071. The reversal of 2513321052 is 2501233152.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513321051) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 224074 + ... + 235022.

It is an arithmetic number, because the mean of its divisors is an integer number (69904800).

Almost surely, 22513321052 is an apocalyptic number.

2513321052 is a gapful number since it is divisible by the number (22) 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 2513321052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355430400).

2513321052 is an abundant number, since it is smaller than the sum of its proper divisors (4197539748).

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

2513321052 is a wasteful number, since it uses less digits than its factorization.

2513321052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11051 (or 11049 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2513321052 is about 50133.0335407703. The cubic root of 2513321052 is about 1359.6151325900.

The spelling of 2513321052 in words is "two billion, five hundred thirteen million, three hundred twenty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 47 66 74 94 111 132 141 148 188 222 282 407 444 517 564 814 1034 1221 1551 1628 1739 2068 2442 3102 3478 4884 5217 6204 6956 10434 10949 19129 20868 21898 32847 38258 43796 57387 65694 76516 114774 120439 131388 229548 240878 361317 405113 481756 514603 722634 810226 1029206 1215339 1445268 1543809 1620452 2058412 2430678 3087618 4456243 4861356 5660633 6175236 8912486 11321266 13368729 16981899 17824972 19040311 22642532 26737458 33963798 38080622 53474916 57120933 67927596 76161244 114241866 209443421 228483732 418886842 628330263 837773684 1256660526 2513321052