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2513153052 = 2232233478747
BaseRepresentation
bin1001010111001011…
…1010110000011100
320111010221101212200
42111302322300130
520121331344202
61053213331500
7116164306554
oct22562726034
96433841780
102513153052
11107a6780a3
125a1796b90
13310886217
1419bab6164
15ea977e1c
hex95cbac1c

2513153052 has 72 divisors (see below), whose sum is σ = 6648759936. Its totient is φ = 798894624.

The previous prime is 2513153039. The next prime is 2513153057. The reversal of 2513153052 is 2503513152.

It is a happy number.

2513153052 is a `hidden beast` number, since 2 + 51 + 31 + 530 + 52 = 666.

2513153052 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513153057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282943 + ... + 291689.

It is an arithmetic number, because the mean of its divisors is an integer number (92343888).

Almost surely, 22513153052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513153052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324379968).

2513153052 is an abundant number, since it is smaller than the sum of its proper divisors (4135606884).

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

2513153052 is a wasteful number, since it uses less digits than its factorization.

2513153052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9127 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2513153052 is about 50131.3579708350. The cubic root of 2513153052 is about 1359.5848379550.

The spelling of 2513153052 in words is "two billion, five hundred thirteen million, one hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 347 414 694 828 1041 1388 2082 3123 4164 6246 7981 8747 12492 15962 17494 23943 26241 31924 34988 47886 52482 71829 78723 95772 104964 143658 157446 201181 287316 314892 402362 603543 804724 1207086 1810629 2414172 3035209 3621258 6070418 7242516 9105627 12140836 18211254 27316881 36422508 54633762 69809807 109267524 139619614 209429421 279239228 418858842 628288263 837717684 1256576526 2513153052