115312538929 has 27 divisors (see below), whose sum is σ = 135499294827. Its totient is φ = 97847075088.

The previous prime is 115312538911. The next prime is 115312538941. The reversal of 115312538929 is 929835213511.

The square root of 115312538929 is 339577.

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., 84638519329 + 30674019600 = 290927^2 + 175140^2 .

It is not a de Polignac number, because 115312538929 - 2¹¹ = 115312536881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115312538989) 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, 330408247 + ... + 330408595.

It is an arithmetic number, because the mean of its divisors is an integer number (5018492401).

Almost surely, 2^115312538929 is an apocalyptic number.

115312538929 is the 339577-th square number.

115312538929 is the 169789-th centered octagonal number.

It is an amenable number.

115312538929 is a deficient number, since it is larger than the sum of its proper divisors (20186755898).

115312538929 is an frugal number, since it uses more digits than its factorization.

115312538929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 495 counting only the distinct ones).

The product of its digits is 583200, while the sum is 49.

Multiplying 115312538929 by its sum of digits (49), we get a square (5650314407521 = 2377039²).

115312538929 divided by its sum of digits (49) gives a square (2353317121 = 48511²).

The spelling of 115312538929 in words is "one hundred fifteen billion, three hundred twelve million, five hundred thirty-eight thousand, nine hundred twenty-nine".