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1054540301 is a prime number
BaseRepresentation
bin111110110110110…
…000001000001101
32201111022012100012
4332312300020031
54124430242201
6252350243005
735063305343
oct7666601015
92644265305
101054540301
114a1295811
122551b6465
1313a625059
14a00a7993
15628a65bb
hex3edb020d

1054540301 has 2 divisors, whose sum is σ = 1054540302. Its totient is φ = 1054540300.

The previous prime is 1054540259. The next prime is 1054540313. The reversal of 1054540301 is 1030454501.

1054540301 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., 975063076 + 79477225 = 31226^2 + 8915^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1054540301 is a prime.

It is a super-2 number, since 2×10545403012 = 2224110492866341202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1054540321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 527270150 + 527270151.

It is an arithmetic number, because the mean of its divisors is an integer number (527270151).

Almost surely, 21054540301 is an apocalyptic number.

It is an amenable number.

1054540301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1054540301 is an equidigital number, since it uses as much as digits as its factorization.

1054540301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1054540301 is about 32473.6862859762. The cubic root of 1054540301 is about 1017.8592488129.

Adding to 1054540301 its reverse (1030454501), we get a palindrome (2084994802).

The spelling of 1054540301 in words is "one billion, fifty-four million, five hundred forty thousand, three hundred one".