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153090737309 is a prime number
BaseRepresentation
bin1000111010010011101…
…0110100010010011101
3112122011011020020101202
42032210322310102131
510002012212043214
6154155013445245
714026505540126
oct2164472642235
9478134206352
10153090737309
1159a1a803904
1225805940825
13115899b33c3
1475a405704d
153eb00e86de
hex23a4eb449d

153090737309 has 2 divisors, whose sum is σ = 153090737310. Its totient is φ = 153090737308.

The previous prime is 153090737297. The next prime is 153090737321. The reversal of 153090737309 is 903737090351.

It is a happy number.

153090737309 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 (153090737297) and next prime (153090737321).

It can be written as a sum of positive squares in only one way, i.e., 147607334809 + 5483402500 = 384197^2 + 74050^2 .

It is a cyclic number.

It is not a de Polignac number, because 153090737309 - 236 = 84371260573 is a prime.

It is a super-2 number, since 2×1530907373092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153090737609) by changing a digit.

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 as a sum of consecutive naturals, namely, 76545368654 + 76545368655.

It is an arithmetic number, because the mean of its divisors is an integer number (76545368655).

Almost surely, 2153090737309 is an apocalyptic number.

It is an amenable number.

153090737309 is a deficient number, since it is larger than the sum of its proper divisors (1).

153090737309 is an equidigital number, since it uses as much as digits as its factorization.

153090737309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 535815, while the sum is 47.

The spelling of 153090737309 in words is "one hundred fifty-three billion, ninety million, seven hundred thirty-seven thousand, three hundred nine".