49590087932529 has 135 divisors (see below), whose sum is σ = 76670062479153. Its totient is φ = 31942616328000.

The previous prime is 49590087932509. The next prime is 49590087932533. The reversal of 49590087932529 is 92523978009594.

The square root of 49590087932529 is 7042023.

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

49590087932529 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 0 + 0 + 8 + 7 + 93 + 2 + 529 = 666.

49590087932529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16096758129 + 49573991174400 = 126873^2 + 7040880^2 .

It is not a de Polignac number, because 49590087932529 - 2⁴³ = 40793994910321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (49590087932509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 390473133264 + ... + 390473133390.

Almost surely, 2^{49590087932529} is an apocalyptic number.

49590087932529 is the 7042023-rd square number.

49590087932529 is the 3521012-nd centered octagonal number.

It is an amenable number.

49590087932529 is a deficient number, since it is larger than the sum of its proper divisors (27079974546624).

49590087932529 is an frugal number, since it uses more digits than its factorization.

49590087932529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 49590087932529 in words is "forty-nine trillion, five hundred ninety billion, eighty-seven million, nine hundred thirty-two thousand, five hundred twenty-nine".