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2613929065225 = 5253261012
BaseRepresentation
bin100110000010011010010…
…100000011101100001001
3100020220000012200201210221
4212002122110003230021
5320311311320041400
65320453351310041
7356564412312502
oct46023224035411
910226005621727
102613929065225
119186198a3235
1236271b67b321
1315c652bc55ba
149072ca23ba9
1547edab1ac1a
hex2609a503b09

2613929065225 has 27 divisors (see below), whose sum is σ = 3304123576159. Its totient is φ = 2051351432000.

The previous prime is 2613929065219. The next prime is 2613929065243. The reversal of 2613929065225 is 5225609293162.

It is a happy number.

The square root of 2613929065225 is 1616765.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 748617761529 + 1865311303696 = 865227^2 + 1365764^2 .

It is not a de Polignac number, because 2613929065225 - 29 = 2613929064713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 428439675 + ... + 428445775.

Almost surely, 22613929065225 is an apocalyptic number.

2613929065225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2613929065225 is the 1616765-th square number.

2613929065225 is the 808383-rd centered octagonal number.

It is an amenable number.

2613929065225 is a deficient number, since it is larger than the sum of its proper divisors (690194510934).

2613929065225 is an frugal number, since it uses more digits than its factorization.

2613929065225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12318 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The spelling of 2613929065225 in words is "two trillion, six hundred thirteen billion, nine hundred twenty-nine million, sixty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 53 265 1325 2809 6101 14045 30505 70225 152525 323353 1616765 8083825 17137709 37222201 85688545 186111005 428442725 930555025 1972776653 9863883265 49319416325 104557162609 522785813045 2613929065225