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2661007537 is a prime number
BaseRepresentation
bin1001111010011011…
…1100000010110001
320212110011012002201
42132212330002301
520422204220122
61120014343201
7122641122316
oct23646740261
96773135081
102661007537
111146084391
126231bab01
133353b3696
141b35a2d0d
15108931a27
hex9e9bc0b1

2661007537 has 2 divisors, whose sum is σ = 2661007538. Its totient is φ = 2661007536.

The previous prime is 2661007511. The next prime is 2661007561. The reversal of 2661007537 is 7357001662.

2661007537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1751924736 + 909082801 = 41856^2 + 30151^2 .

It is a cyclic number.

It is not a de Polignac number, because 2661007537 - 27 = 2661007409 is a prime.

It is a super-2 number, since 2×26610075372 = 14161922223941612738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2661007496 and 2661007505.

It is not a weakly prime, because it can be changed into another prime (2661007567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1330503768 + 1330503769.

It is an arithmetic number, because the mean of its divisors is an integer number (1330503769).

Almost surely, 22661007537 is an apocalyptic number.

It is an amenable number.

2661007537 is a deficient number, since it is larger than the sum of its proper divisors (1).

2661007537 is an equidigital number, since it uses as much as digits as its factorization.

2661007537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 2661007537 is about 51584.9545604142. The cubic root of 2661007537 is about 1385.7408986235.

The spelling of 2661007537 in words is "two billion, six hundred sixty-one million, seven thousand, five hundred thirty-seven".