49575695082001 has 81 divisors (see below), whose sum is σ = 58605180804009. Its totient is φ = 41899588750800.

The previous prime is 49575695081999. The next prime is 49575695082007. The reversal of 49575695082001 is 10028059657594.

The square root of 49575695082001 is 7041001.

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

49575695082001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 49575695082001 - 2¹ = 49575695081999 is a prime.

It is a super-2 number, since 2×49575695082001² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49575695082007) 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 80 ways as a sum of consecutive naturals, for example, 86822583046 + ... + 86822583616.

Almost surely, 2^{49575695082001} is an apocalyptic number.

49575695082001 is the 7041001-st square number.

49575695082001 is the 3520501-st centered octagonal number.

It is an amenable number.

49575695082001 is a deficient number, since it is larger than the sum of its proper divisors (9029485722008).

49575695082001 is an frugal number, since it uses more digits than its factorization.

49575695082001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 61.

The spelling of 49575695082001 in words is "forty-nine trillion, five hundred seventy-five billion, six hundred ninety-five million, eighty-two thousand, one".