1504945121 has 2 divisors, whose sum is σ = 1504945122. Its totient is φ = 1504945120.

The previous prime is 1504945109. The next prime is 1504945133. The reversal of 1504945121 is 1215494051.

It is a balanced prime because it is at equal distance from previous prime (1504945109) and next prime (1504945133).

It can be written as a sum of positive squares in only one way, i.e., 1500787600 + 4157521 = 38740^2 + 2039^2 .

It is a cyclic number.

It is not a de Polignac number, because 1504945121 - 2²² = 1500750817 is a prime.

It is not a weakly prime, because it can be changed into another prime (1504945171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 752472560 + 752472561.

It is an arithmetic number, because the mean of its divisors is an integer number (752472561).

Almost surely, 2^1504945121 is an apocalyptic number.

It is an amenable number.

1504945121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1504945121 is an equidigital number, since it uses as much as digits as its factorization.

1504945121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 1504945121 is about 38793.6221691143. The cubic root of 1504945121 is about 1145.9708072467.

The spelling of 1504945121 in words is "one billion, five hundred four million, nine hundred forty-five thousand, one hundred twenty-one".