80624152953 has 40 divisors (see below), whose sum is σ = 123214512960. Its totient is φ = 52521510240.

The previous prime is 80624152933. The next prime is 80624152967. The reversal of 80624152953 is 35925142608.

80624152953 is a `hidden beast` number, since 8 + 0 + 624 + 15 + 2 + 9 + 5 + 3 = 666.

It is not a de Polignac number, because 80624152953 - 2²⁵ = 80590598521 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 80624152899 and 80624152908.

It is not an unprimeable number, because it can be changed into a prime (80624152933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 747583 + ... + 848603.

It is an arithmetic number, because the mean of its divisors is an integer number (3080362824).

Almost surely, 2^80624152953 is an apocalyptic number.

It is an amenable number.

80624152953 is a deficient number, since it is larger than the sum of its proper divisors (42590360007).

80624152953 is a wasteful number, since it uses less digits than its factorization.

80624152953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101259 (or 101250 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 80624152953 in words is "eighty billion, six hundred twenty-four million, one hundred fifty-two thousand, nine hundred fifty-three".