905006761537 has 2 divisors, whose sum is σ = 905006761538. Its totient is φ = 905006761536.

The previous prime is 905006761507. The next prime is 905006761553. The reversal of 905006761537 is 735167600509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 875467120896 + 29539640641 = 935664^2 + 171871^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-905006761537 is a prime.

It is not a weakly prime, because it can be changed into another prime (905006761507) 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, 452503380768 + 452503380769.

It is an arithmetic number, because the mean of its divisors is an integer number (452503380769).

Almost surely, 2^905006761537 is an apocalyptic number.

It is an amenable number.

905006761537 is a deficient number, since it is larger than the sum of its proper divisors (1).

905006761537 is an equidigital number, since it uses as much as digits as its factorization.

905006761537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1190700, while the sum is 49.

The spelling of 905006761537 in words is "nine hundred five billion, six million, seven hundred sixty-one thousand, five hundred thirty-seven".