53025211252035 has 96 divisors (see below), whose sum is σ = 103734819115200. Its totient is φ = 24819912069120.

The previous prime is 53025211252031. The next prime is 53025211252037.

53025211252035 is a `hidden beast` number, since 5 + 3 + 0 + 2 + 521 + 125 + 2 + 0 + 3 + 5 = 666.

53025211252035 is nontrivially palindromic in base 10.

53025211252035 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 53025211252035 - 2² = 53025211252031 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53025211252031) 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 95 ways as a sum of consecutive naturals, for example, 131994639 + ... + 132395751.

It is an arithmetic number, because the mean of its divisors is an integer number (1080571032450).

Almost surely, 2^{53025211252035} is an apocalyptic number.

53025211252035 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53025211252035 is a deficient number, since it is larger than the sum of its proper divisors (50709607863165).

53025211252035 is a wasteful number, since it uses less digits than its factorization.

53025211252035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410373 (or 410370 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 5302521 and 1252035, that added together give a palindrome (6554556).

The spelling of 53025211252035 in words is "fifty-three trillion, twenty-five billion, two hundred eleven million, two hundred fifty-two thousand, thirty-five".