127952513 has 16 divisors (see below), whose sum is σ = 143302656. Its totient is φ = 113477760.

The previous prime is 127952491. The next prime is 127952543. The reversal of 127952513 is 315259721.

It is a cyclic number.

It is not a de Polignac number, because 127952513 - 2¹⁰ = 127951489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127952543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33920 + ... + 37502.

It is an arithmetic number, because the mean of its divisors is an integer number (8956416).

Almost surely, 2^127952513 is an apocalyptic number.

127952513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

127952513 is a deficient number, since it is larger than the sum of its proper divisors (15350143).

127952513 is a wasteful number, since it uses less digits than its factorization.

127952513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704.

The product of its digits is 18900, while the sum is 35.

The square root of 127952513 is about 11311.6096555707. The cubic root of 127952513 is about 503.9060894671.

The spelling of 127952513 in words is "one hundred twenty-seven million, nine hundred fifty-two thousand, five hundred thirteen".