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2524132801 is a prime number
BaseRepresentation
bin1001011001110011…
…0011010111000001
320111220121020021001
42112130303113001
520132134222201
61054244532001
7116356526521
oct22634632701
96456536231
102524132801
111085897373
125a53b1001
13312c2ba08
1419d333681
15eb8e6301
hex967335c1

2524132801 has 2 divisors, whose sum is σ = 2524132802. Its totient is φ = 2524132800.

The previous prime is 2524132789. The next prime is 2524132813. The reversal of 2524132801 is 1082314252.

2524132801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (2524132789) and next prime (2524132813).

It can be written as a sum of positive squares in only one way, i.e., 2057529600 + 466603201 = 45360^2 + 21601^2 .

It is a cyclic number.

It is not a de Polignac number, because 2524132801 - 27 = 2524132673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2524132801.

It is not a weakly prime, because it can be changed into another prime (2524132841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1262066400 + 1262066401.

It is an arithmetic number, because the mean of its divisors is an integer number (1262066401).

Almost surely, 22524132801 is an apocalyptic number.

It is an amenable number.

2524132801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2524132801 is an equidigital number, since it uses as much as digits as its factorization.

2524132801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2524132801 is about 50240.7484120211. The cubic root of 2524132801 is about 1361.5619311389.

The spelling of 2524132801 in words is "two billion, five hundred twenty-four million, one hundred thirty-two thousand, eight hundred one".