82754153253 has 64 divisors (see below), whose sum is σ = 127753113600. Its totient is φ = 53574000048.

The previous prime is 82754153191. The next prime is 82754153257. The reversal of 82754153253 is 35235145728.

82754153253 is a `hidden beast` number, since 8 + 2 + 7 + 541 + 53 + 2 + 53 = 666.

It is not a de Polignac number, because 82754153253 - 2¹⁸ = 82753891109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82754153199 and 82754153208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82754153257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10705876 + ... + 10713602.

It is an arithmetic number, because the mean of its divisors is an integer number (1996142400).

Almost surely, 2^82754153253 is an apocalyptic number.

82754153253 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

82754153253 is a deficient number, since it is larger than the sum of its proper divisors (44998960347).

82754153253 is an frugal number, since it uses more digits than its factorization.

82754153253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7890 (or 7872 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 82754153253 in words is "eighty-two billion, seven hundred fifty-four million, one hundred fifty-three thousand, two hundred fifty-three".