61317150129 has 27 divisors (see below), whose sum is σ = 90160279833. Its totient is φ = 40156526664.

The previous prime is 61317150119. The next prime is 61317150131. The reversal of 61317150129 is 92105171316.

It is a happy number.

The square root of 61317150129 is 247623.

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

61317150129 is a `hidden beast` number, since 61 + 3 + 1 + 71 + 501 + 29 = 666.

It is not a de Polignac number, because 61317150129 - 2¹⁵ = 61317117361 is a prime.

It is a super-4 number, since 4×61317150129⁴ (a number of 44 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61317150093 and 61317150102.

It is not an unprimeable number, because it can be changed into a prime (61317150119) 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 in 26 ways as a sum of consecutive naturals, for example, 43828572 + ... + 43829970.

Almost surely, 2^61317150129 is an apocalyptic number.

61317150129 is the 247623-rd square number.

61317150129 is the 123812-nd centered octagonal number.

It is an amenable number.

61317150129 is a deficient number, since it is larger than the sum of its proper divisors (28843129704).

61317150129 is an frugal number, since it uses more digits than its factorization.

61317150129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

Multiplying 61317150129 by its sum of digits (36), we get a square (2207417404644 = 1485738²).

The spelling of 61317150129 in words is "sixty-one billion, three hundred seventeen million, one hundred fifty thousand, one hundred twenty-nine".