67958771051521 has 45 divisors (see below), whose sum is σ = 81499067095299. Its totient is φ = 56663576231472.

The previous prime is 67958771051453. The next prime is 67958771051557. The reversal of 67958771051521 is 12515017785976.

The square root of 67958771051521 is 8243711.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60810441591025 + 7148329460496 = 7798105^2 + 2673636^2 .

It is not a de Polignac number, because 67958771051521 - 2¹¹ = 67958771049473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67958771051221) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14945845770 + ... + 14945850316.

Almost surely, 2^{67958771051521} is an apocalyptic number.

67958771051521 is the 8243711-st square number.

67958771051521 is the 4121856-th centered octagonal number.

It is an amenable number.

67958771051521 is a deficient number, since it is larger than the sum of its proper divisors (13540296043778).

67958771051521 is an frugal number, since it uses more digits than its factorization.

67958771051521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9196 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 37044000, while the sum is 64.

The spelling of 67958771051521 in words is "sixty-seven trillion, nine hundred fifty-eight billion, seven hundred seventy-one million, fifty-one thousand, five hundred twenty-one".