506007735117661 has 24 divisors (see below), whose sum is σ = 600004833780024. Its totient is φ = 425340580654080.

The previous prime is 506007735117509. The next prime is 506007735117671. The reversal of 506007735117661 is 166711537700605.

It can be written as a sum of positive squares in 4 ways, for example, as 228796057512036 + 277211677605625 = 15126006^2 + 16649675^2 .

It is a de Polignac number, because none of the positive numbers 2^k-506007735117661 is a prime.

It is a super-2 number, since 2×506007735117661² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506007735117671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39469600 + ... + 50693833.

It is an arithmetic number, because the mean of its divisors is an integer number (25000201407501).

Almost surely, 2^{506007735117661} is an apocalyptic number.

It is an amenable number.

506007735117661 is a deficient number, since it is larger than the sum of its proper divisors (93997098662363).

506007735117661 is a wasteful number, since it uses less digits than its factorization.

506007735117661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90165661 (or 90165654 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 55.

The spelling of 506007735117661 in words is "five hundred six trillion, seven billion, seven hundred thirty-five million, one hundred seventeen thousand, six hundred sixty-one".