513077757737073 has 32 divisors (see below), whose sum is σ = 739760769699840. Its totient is φ = 315079795887360.

The previous prime is 513077757737059. The next prime is 513077757737087. The reversal of 513077757737073 is 370737757770315.

It is an interprime number because it is at equal distance from previous prime (513077757737059) and next prime (513077757737087).

It is not a de Polignac number, because 513077757737073 - 2¹² = 513077757732977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513077757736989 and 513077757737007.

It is not an unprimeable number, because it can be changed into a prime (513077757737023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530977738 + ... + 531943148.

It is an arithmetic number, because the mean of its divisors is an integer number (23117524053120).

Almost surely, 2^{513077757737073} is an apocalyptic number.

It is an amenable number.

513077757737073 is a deficient number, since it is larger than the sum of its proper divisors (226683011962767).

513077757737073 is a wasteful number, since it uses less digits than its factorization.

513077757737073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187197.

The product of its (nonzero) digits is 555891525, while the sum is 69.

The spelling of 513077757737073 in words is "five hundred thirteen trillion, seventy-seven billion, seven hundred fifty-seven million, seven hundred thirty-seven thousand, seventy-three".