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61009132001 is a prime number
BaseRepresentation
bin111000110100011011…
…010111100111100001
312211110211110000121112
4320310123113213201
51444421314211001
644005513233105
74256602031336
oct706433274741
9184424400545
1061009132001
1123968078954
12b9a7a02795
1359a3843b0c
142d4a8da98d
1518c1139cbb
hexe346d79e1

61009132001 has 2 divisors, whose sum is σ = 61009132002. Its totient is φ = 61009132000.

The previous prime is 61009131923. The next prime is 61009132043. The reversal of 61009132001 is 10023190016.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53881551376 + 7127580625 = 232124^2 + 84425^2 .

It is a cyclic number.

It is not a de Polignac number, because 61009132001 - 234 = 43829262817 is a prime.

It is a super-2 number, since 2×610091320012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61009132061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30504566000 + 30504566001.

It is an arithmetic number, because the mean of its divisors is an integer number (30504566001).

Almost surely, 261009132001 is an apocalyptic number.

It is an amenable number.

61009132001 is a deficient number, since it is larger than the sum of its proper divisors (1).

61009132001 is an equidigital number, since it uses as much as digits as its factorization.

61009132001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 61009132001 in words is "sixty-one billion, nine million, one hundred thirty-two thousand, one".