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61131200725 = 52741018429
BaseRepresentation
bin111000111011101101…
…000001100011010101
312211210100010202102101
4320323231001203111
52000144041410400
644025553442101
74262613430000
oct707355014325
9184710122371
1061131200725
1123a1aa729a1
12ba20870331
1359c2c1352a
142d5cbd4537
1518cbbed56a
hexe3bb418d5

61131200725 has 30 divisors (see below), whose sum is σ = 88431295330. Its totient is φ = 41918496480.

The previous prime is 61131200719. The next prime is 61131200737. The reversal of 61131200725 is 52700213116.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 962054289 + 60169146436 = 31017^2 + 245294^2 .

It is not a de Polignac number, because 61131200725 - 29 = 61131200213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61131200693 and 61131200702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 449190 + ... + 569239.

Almost surely, 261131200725 is an apocalyptic number.

It is an amenable number.

61131200725 is a deficient number, since it is larger than the sum of its proper divisors (27300094605).

61131200725 is an equidigital number, since it uses as much as digits as its factorization.

61131200725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018467 (or 1018441 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 61131200725 in words is "sixty-one billion, one hundred thirty-one million, two hundred thousand, seven hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 2401 8575 12005 60025 1018429 5092145 7129003 25460725 35645015 49903021 178225075 249515105 349321147 1247575525 1746605735 2445248029 8733028675 12226240145 61131200725